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Finding the Third Proportional to 391,668 and 586,017

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Solution

The third proportional to 391,668 and 586,017 is: 876,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,668 : 586,017 = 586,017 : x
  2. Step 2: Convert to fraction form
    391,668/586,017 = 586,017/x
  3. Step 3: Cross multiply
    391,668x = 586,017 × 586,017
  4. Step 4: Simplify right side
    391,668x = 343,415,924,289
  5. Step 5: Solve for x
    x = 343,415,924,289/391,668
  6. Step 6: Final answer
    x = 876,803.63

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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.