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Finding the Third Proportional to 312,455,280 and 680,457,444

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Solution

The third proportional to 312,455,280 and 680,457,444 is: 1,481,883,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,455,280 : 680,457,444 = 680,457,444 : x
  2. Step 2: Convert to fraction form
    312,455,280/680,457,444 = 680,457,444/x
  3. Step 3: Cross multiply
    312,455,280x = 680,457,444 × 680,457,444
  4. Step 4: Simplify right side
    312,455,280x = 463,022,333,095,013,120
  5. Step 5: Solve for x
    x = 463,022,333,095,013,120/312,455,280
  6. Step 6: Final answer
    x = 1,481,883,529.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.