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Finding the Third Proportional to 69,374 and 149,792

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Solution

The third proportional to 69,374 and 149,792 is: 323,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,374 : 149,792 = 149,792 : x
  2. Step 2: Convert to fraction form
    69,374/149,792 = 149,792/x
  3. Step 3: Cross multiply
    69,374x = 149,792 × 149,792
  4. Step 4: Simplify right side
    69,374x = 22,437,643,264
  5. Step 5: Solve for x
    x = 22,437,643,264/69,374
  6. Step 6: Final answer
    x = 323,430.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.