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Finding the Third Proportional to 129,915 and 203,076

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Solution

The third proportional to 129,915 and 203,076 is: 317,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,915 : 203,076 = 203,076 : x
  2. Step 2: Convert to fraction form
    129,915/203,076 = 203,076/x
  3. Step 3: Cross multiply
    129,915x = 203,076 × 203,076
  4. Step 4: Simplify right side
    129,915x = 41,239,861,776
  5. Step 5: Solve for x
    x = 41,239,861,776/129,915
  6. Step 6: Final answer
    x = 317,437.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.