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Finding the Third Proportional to 156,920 and 239,484

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Solution

The third proportional to 156,920 and 239,484 is: 365,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,920 : 239,484 = 239,484 : x
  2. Step 2: Convert to fraction form
    156,920/239,484 = 239,484/x
  3. Step 3: Cross multiply
    156,920x = 239,484 × 239,484
  4. Step 4: Simplify right side
    156,920x = 57,352,586,256
  5. Step 5: Solve for x
    x = 57,352,586,256/156,920
  6. Step 6: Final answer
    x = 365,489.33

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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.