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Finding the Third Proportional to 157,759 and 238,287

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Solution

The third proportional to 157,759 and 238,287 is: 359,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,759 : 238,287 = 238,287 : x
  2. Step 2: Convert to fraction form
    157,759/238,287 = 238,287/x
  3. Step 3: Cross multiply
    157,759x = 238,287 × 238,287
  4. Step 4: Simplify right side
    157,759x = 56,780,694,369
  5. Step 5: Solve for x
    x = 56,780,694,369/157,759
  6. Step 6: Final answer
    x = 359,920.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.