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Finding the Third Proportional to 191,005.31 and 258,481.13

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Solution

The third proportional to 191,005.31 and 258,481.13 is: 349,793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,005.31 : 258,481.13 = 258,481.13 : x
  2. Step 2: Convert to fraction form
    191,005.31/258,481.13 = 258,481.13/x
  3. Step 3: Cross multiply
    191,005.31x = 258,481.13 × 258,481.13
  4. Step 4: Simplify right side
    191,005.31x = 66,812,491,981.27
  5. Step 5: Solve for x
    x = 66,812,491,981.27/191,005.31
  6. Step 6: Final answer
    x = 349,793.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.