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Finding the Third Proportional to 123,901,920 and 255,758,688

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Solution

The third proportional to 123,901,920 and 255,758,688 is: 527,937,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,901,920 : 255,758,688 = 255,758,688 : x
  2. Step 2: Convert to fraction form
    123,901,920/255,758,688 = 255,758,688/x
  3. Step 3: Cross multiply
    123,901,920x = 255,758,688 × 255,758,688
  4. Step 4: Simplify right side
    123,901,920x = 65,412,506,487,481,344
  5. Step 5: Solve for x
    x = 65,412,506,487,481,344/123,901,920
  6. Step 6: Final answer
    x = 527,937,795.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.