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Finding the Third Proportional to 156,902 and 239,457

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Solution

The third proportional to 156,902 and 239,457 is: 365,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,902 : 239,457 = 239,457 : x
  2. Step 2: Convert to fraction form
    156,902/239,457 = 239,457/x
  3. Step 3: Cross multiply
    156,902x = 239,457 × 239,457
  4. Step 4: Simplify right side
    156,902x = 57,339,654,849
  5. Step 5: Solve for x
    x = 57,339,654,849/156,902
  6. Step 6: Final answer
    x = 365,448.85

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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.