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Finding the Third Proportional to 133,792 and 207,830

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Solution

The third proportional to 133,792 and 207,830 is: 322,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,792 : 207,830 = 207,830 : x
  2. Step 2: Convert to fraction form
    133,792/207,830 = 207,830/x
  3. Step 3: Cross multiply
    133,792x = 207,830 × 207,830
  4. Step 4: Simplify right side
    133,792x = 43,193,308,900
  5. Step 5: Solve for x
    x = 43,193,308,900/133,792
  6. Step 6: Final answer
    x = 322,839.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.