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Finding the Third Proportional to 137,432 and 291,712

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Solution

The third proportional to 137,432 and 291,712 is: 619,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,432 : 291,712 = 291,712 : x
  2. Step 2: Convert to fraction form
    137,432/291,712 = 291,712/x
  3. Step 3: Cross multiply
    137,432x = 291,712 × 291,712
  4. Step 4: Simplify right side
    137,432x = 85,095,890,944
  5. Step 5: Solve for x
    x = 85,095,890,944/137,432
  6. Step 6: Final answer
    x = 619,185.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.