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Finding the Third Proportional to 291,147 and 391,239

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Solution

The third proportional to 291,147 and 391,239 is: 525,741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,147 : 391,239 = 391,239 : x
  2. Step 2: Convert to fraction form
    291,147/391,239 = 391,239/x
  3. Step 3: Cross multiply
    291,147x = 391,239 × 391,239
  4. Step 4: Simplify right side
    291,147x = 153,067,955,121
  5. Step 5: Solve for x
    x = 153,067,955,121/291,147
  6. Step 6: Final answer
    x = 525,741.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.