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Finding the Third Proportional to 391,340 and 558,122

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Solution

The third proportional to 391,340 and 558,122 is: 795,983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,340 : 558,122 = 558,122 : x
  2. Step 2: Convert to fraction form
    391,340/558,122 = 558,122/x
  3. Step 3: Cross multiply
    391,340x = 558,122 × 558,122
  4. Step 4: Simplify right side
    391,340x = 311,500,166,884
  5. Step 5: Solve for x
    x = 311,500,166,884/391,340
  6. Step 6: Final answer
    x = 795,983.46

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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.