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Finding the Third Proportional to 156,785 and 231,487

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Solution

The third proportional to 156,785 and 231,487 is: 341,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,785 : 231,487 = 231,487 : x
  2. Step 2: Convert to fraction form
    156,785/231,487 = 231,487/x
  3. Step 3: Cross multiply
    156,785x = 231,487 × 231,487
  4. Step 4: Simplify right side
    156,785x = 53,586,231,169
  5. Step 5: Solve for x
    x = 53,586,231,169/156,785
  6. Step 6: Final answer
    x = 341,781.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.