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Finding the Third Proportional to 308,701,638,625.50 and 668,688,042,663

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Solution

The third proportional to 308,701,638,625.50 and 668,688,042,663 is: 1,448,465,581,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,701,638,625.50 : 668,688,042,663 = 668,688,042,663 : x
  2. Step 2: Convert to fraction form
    308,701,638,625.50/668,688,042,663 = 668,688,042,663/x
  3. Step 3: Cross multiply
    308,701,638,625.50x = 668,688,042,663 × 668,688,042,663
  4. Step 4: Simplify right side
    308,701,638,625.50x = 447,143,698,400,474,101,186,560
  5. Step 5: Solve for x
    x = 447,143,698,400,474,101,186,560/308,701,638,625.50
  6. Step 6: Final answer
    x = 1,448,465,581,172.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.