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Finding the Third Proportional to 159,600 and 242,720

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Solution

The third proportional to 159,600 and 242,720 is: 369,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,600 : 242,720 = 242,720 : x
  2. Step 2: Convert to fraction form
    159,600/242,720 = 242,720/x
  3. Step 3: Cross multiply
    159,600x = 242,720 × 242,720
  4. Step 4: Simplify right side
    159,600x = 58,912,998,400
  5. Step 5: Solve for x
    x = 58,912,998,400/159,600
  6. Step 6: Final answer
    x = 369,129.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.