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Finding the Third Proportional to 308,701,638,608 and 668,688,042,296

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Solution

The third proportional to 308,701,638,608 and 668,688,042,296 is: 1,448,465,579,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,701,638,608 : 668,688,042,296 = 668,688,042,296 : x
  2. Step 2: Convert to fraction form
    308,701,638,608/668,688,042,296 = 668,688,042,296/x
  3. Step 3: Cross multiply
    308,701,638,608x = 668,688,042,296 × 668,688,042,296
  4. Step 4: Simplify right side
    308,701,638,608x = 447,143,697,909,657,116,868,608
  5. Step 5: Solve for x
    x = 447,143,697,909,657,116,868,608/308,701,638,608
  6. Step 6: Final answer
    x = 1,448,465,579,664.30

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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.