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Finding the Third Proportional to 156,940 and 239,514

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Solution

The third proportional to 156,940 and 239,514 is: 365,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,940 : 239,514 = 239,514 : x
  2. Step 2: Convert to fraction form
    156,940/239,514 = 239,514/x
  3. Step 3: Cross multiply
    156,940x = 239,514 × 239,514
  4. Step 4: Simplify right side
    156,940x = 57,366,956,196
  5. Step 5: Solve for x
    x = 57,366,956,196/156,940
  6. Step 6: Final answer
    x = 365,534.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.