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Finding the Third Proportional to 391,716 and 586,089

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Solution

The third proportional to 391,716 and 586,089 is: 876,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,716 : 586,089 = 586,089 : x
  2. Step 2: Convert to fraction form
    391,716/586,089 = 586,089/x
  3. Step 3: Cross multiply
    391,716x = 586,089 × 586,089
  4. Step 4: Simplify right side
    391,716x = 343,500,315,921
  5. Step 5: Solve for x
    x = 343,500,315,921/391,716
  6. Step 6: Final answer
    x = 876,911.63

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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.