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Finding the Third Proportional to 387,749 and 558,478

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Solution

The third proportional to 387,749 and 558,478 is: 804,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,749 : 558,478 = 558,478 : x
  2. Step 2: Convert to fraction form
    387,749/558,478 = 558,478/x
  3. Step 3: Cross multiply
    387,749x = 558,478 × 558,478
  4. Step 4: Simplify right side
    387,749x = 311,897,676,484
  5. Step 5: Solve for x
    x = 311,897,676,484/387,749
  6. Step 6: Final answer
    x = 804,380.35

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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.