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Finding the Third Proportional to 310,952,448 and 680,481,792

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Solution

The third proportional to 310,952,448 and 680,481,792 is: 1,489,152,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,952,448 : 680,481,792 = 680,481,792 : x
  2. Step 2: Convert to fraction form
    310,952,448/680,481,792 = 680,481,792/x
  3. Step 3: Cross multiply
    310,952,448x = 680,481,792 × 680,481,792
  4. Step 4: Simplify right side
    310,952,448x = 463,055,469,243,531,264
  5. Step 5: Solve for x
    x = 463,055,469,243,531,264/310,952,448
  6. Step 6: Final answer
    x = 1,489,152,030.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.