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Finding the Third Proportional to 391,870 and 586,286

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Solution

The third proportional to 391,870 and 586,286 is: 877,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,870 : 586,286 = 586,286 : x
  2. Step 2: Convert to fraction form
    391,870/586,286 = 586,286/x
  3. Step 3: Cross multiply
    391,870x = 586,286 × 586,286
  4. Step 4: Simplify right side
    391,870x = 343,731,273,796
  5. Step 5: Solve for x
    x = 343,731,273,796/391,870
  6. Step 6: Final answer
    x = 877,156.39

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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.