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Finding the Third Proportional to 157,535 and 239,215

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Solution

The third proportional to 157,535 and 239,215 is: 363,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,535 : 239,215 = 239,215 : x
  2. Step 2: Convert to fraction form
    157,535/239,215 = 239,215/x
  3. Step 3: Cross multiply
    157,535x = 239,215 × 239,215
  4. Step 4: Simplify right side
    157,535x = 57,223,816,225
  5. Step 5: Solve for x
    x = 57,223,816,225/157,535
  6. Step 6: Final answer
    x = 363,245.10

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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.