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Finding the Third Proportional to 391,887 and 586,305

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Solution

The third proportional to 391,887 and 586,305 is: 877,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,887 : 586,305 = 586,305 : x
  2. Step 2: Convert to fraction form
    391,887/586,305 = 586,305/x
  3. Step 3: Cross multiply
    391,887x = 586,305 × 586,305
  4. Step 4: Simplify right side
    391,887x = 343,753,553,025
  5. Step 5: Solve for x
    x = 343,753,553,025/391,887
  6. Step 6: Final answer
    x = 877,175.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.