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Finding the Third Proportional to 156,918 and 239,481

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Solution

The third proportional to 156,918 and 239,481 is: 365,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,918 : 239,481 = 239,481 : x
  2. Step 2: Convert to fraction form
    156,918/239,481 = 239,481/x
  3. Step 3: Cross multiply
    156,918x = 239,481 × 239,481
  4. Step 4: Simplify right side
    156,918x = 57,351,149,361
  5. Step 5: Solve for x
    x = 57,351,149,361/156,918
  6. Step 6: Final answer
    x = 365,484.84

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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.