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Finding the Third Proportional to 391,065 and 557,825

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Solution

The third proportional to 391,065 and 557,825 is: 795,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,065 : 557,825 = 557,825 : x
  2. Step 2: Convert to fraction form
    391,065/557,825 = 557,825/x
  3. Step 3: Cross multiply
    391,065x = 557,825 × 557,825
  4. Step 4: Simplify right side
    391,065x = 311,168,730,625
  5. Step 5: Solve for x
    x = 311,168,730,625/391,065
  6. Step 6: Final answer
    x = 795,695.68

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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.