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Finding the Third Proportional to 133,872 and 291,070

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Solution

The third proportional to 133,872 and 291,070 is: 632,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,872 : 291,070 = 291,070 : x
  2. Step 2: Convert to fraction form
    133,872/291,070 = 291,070/x
  3. Step 3: Cross multiply
    133,872x = 291,070 × 291,070
  4. Step 4: Simplify right side
    133,872x = 84,721,744,900
  5. Step 5: Solve for x
    x = 84,721,744,900/133,872
  6. Step 6: Final answer
    x = 632,856.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.