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Finding the Third Proportional to 391,867 and 586,281

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Solution

The third proportional to 391,867 and 586,281 is: 877,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,867 : 586,281 = 586,281 : x
  2. Step 2: Convert to fraction form
    391,867/586,281 = 586,281/x
  3. Step 3: Cross multiply
    391,867x = 586,281 × 586,281
  4. Step 4: Simplify right side
    391,867x = 343,725,410,961
  5. Step 5: Solve for x
    x = 343,725,410,961/391,867
  6. Step 6: Final answer
    x = 877,148.14

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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.