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Finding the Third Proportional to 387,747 and 558,474.75

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Solution

The third proportional to 387,747 and 558,474.75 is: 804,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,747 : 558,474.75 = 558,474.75 : x
  2. Step 2: Convert to fraction form
    387,747/558,474.75 = 558,474.75/x
  3. Step 3: Cross multiply
    387,747x = 558,474.75 × 558,474.75
  4. Step 4: Simplify right side
    387,747x = 311,894,046,387.56
  5. Step 5: Solve for x
    x = 311,894,046,387.56/387,747
  6. Step 6: Final answer
    x = 804,375.14

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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.