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Finding the Third Proportional to 391,104 and 587,520

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Solution

The third proportional to 391,104 and 587,520 is: 882,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,104 : 587,520 = 587,520 : x
  2. Step 2: Convert to fraction form
    391,104/587,520 = 587,520/x
  3. Step 3: Cross multiply
    391,104x = 587,520 × 587,520
  4. Step 4: Simplify right side
    391,104x = 345,179,750,400
  5. Step 5: Solve for x
    x = 345,179,750,400/391,104
  6. Step 6: Final answer
    x = 882,577.91

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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.