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Finding the Third Proportional to 391,342 and 558,125

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Solution

The third proportional to 391,342 and 558,125 is: 795,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,342 : 558,125 = 558,125 : x
  2. Step 2: Convert to fraction form
    391,342/558,125 = 558,125/x
  3. Step 3: Cross multiply
    391,342x = 558,125 × 558,125
  4. Step 4: Simplify right side
    391,342x = 311,503,515,625
  5. Step 5: Solve for x
    x = 311,503,515,625/391,342
  6. Step 6: Final answer
    x = 795,987.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.