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Finding the Third Proportional to 83,270 and 187,439

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Solution

The third proportional to 83,270 and 187,439 is: 421,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,270 : 187,439 = 187,439 : x
  2. Step 2: Convert to fraction form
    83,270/187,439 = 187,439/x
  3. Step 3: Cross multiply
    83,270x = 187,439 × 187,439
  4. Step 4: Simplify right side
    83,270x = 35,133,378,721
  5. Step 5: Solve for x
    x = 35,133,378,721/83,270
  6. Step 6: Final answer
    x = 421,921.20

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.