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Finding the Third Proportional to 139,374 and 296,727

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Solution

The third proportional to 139,374 and 296,727 is: 631,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,374 : 296,727 = 296,727 : x
  2. Step 2: Convert to fraction form
    139,374/296,727 = 296,727/x
  3. Step 3: Cross multiply
    139,374x = 296,727 × 296,727
  4. Step 4: Simplify right side
    139,374x = 88,046,912,529
  5. Step 5: Solve for x
    x = 88,046,912,529/139,374
  6. Step 6: Final answer
    x = 631,731.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.