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Finding the Third Proportional to 387,750 and 558,474

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Solution

The third proportional to 387,750 and 558,474 is: 804,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,750 : 558,474 = 558,474 : x
  2. Step 2: Convert to fraction form
    387,750/558,474 = 558,474/x
  3. Step 3: Cross multiply
    387,750x = 558,474 × 558,474
  4. Step 4: Simplify right side
    387,750x = 311,893,208,676
  5. Step 5: Solve for x
    x = 311,893,208,676/387,750
  6. Step 6: Final answer
    x = 804,366.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.