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Finding the Third Proportional to 159,760 and 242,555

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Solution

The third proportional to 159,760 and 242,555 is: 368,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,760 : 242,555 = 242,555 : x
  2. Step 2: Convert to fraction form
    159,760/242,555 = 242,555/x
  3. Step 3: Cross multiply
    159,760x = 242,555 × 242,555
  4. Step 4: Simplify right side
    159,760x = 58,832,928,025
  5. Step 5: Solve for x
    x = 58,832,928,025/159,760
  6. Step 6: Final answer
    x = 368,258.19

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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.