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Finding the Third Proportional to 137,474 and 291,229

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Solution

The third proportional to 137,474 and 291,229 is: 616,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,474 : 291,229 = 291,229 : x
  2. Step 2: Convert to fraction form
    137,474/291,229 = 291,229/x
  3. Step 3: Cross multiply
    137,474x = 291,229 × 291,229
  4. Step 4: Simplify right side
    137,474x = 84,814,330,441
  5. Step 5: Solve for x
    x = 84,814,330,441/137,474
  6. Step 6: Final answer
    x = 616,948.15

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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.