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Finding the Third Proportional to 391,915 and 586,349

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Solution

The third proportional to 391,915 and 586,349 is: 877,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,915 : 586,349 = 586,349 : x
  2. Step 2: Convert to fraction form
    391,915/586,349 = 586,349/x
  3. Step 3: Cross multiply
    391,915x = 586,349 × 586,349
  4. Step 4: Simplify right side
    391,915x = 343,805,149,801
  5. Step 5: Solve for x
    x = 343,805,149,801/391,915
  6. Step 6: Final answer
    x = 877,244.17

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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.