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Finding the Third Proportional to 137,808 and 207,792

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Solution

The third proportional to 137,808 and 207,792 is: 313,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,808 : 207,792 = 207,792 : x
  2. Step 2: Convert to fraction form
    137,808/207,792 = 207,792/x
  3. Step 3: Cross multiply
    137,808x = 207,792 × 207,792
  4. Step 4: Simplify right side
    137,808x = 43,177,515,264
  5. Step 5: Solve for x
    x = 43,177,515,264/137,808
  6. Step 6: Final answer
    x = 313,316.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.