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Finding the Third Proportional to 391,279.50 and 524,103.75

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Solution

The third proportional to 391,279.50 and 524,103.75 is: 702,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,279.50 : 524,103.75 = 524,103.75 : x
  2. Step 2: Convert to fraction form
    391,279.50/524,103.75 = 524,103.75/x
  3. Step 3: Cross multiply
    391,279.50x = 524,103.75 × 524,103.75
  4. Step 4: Simplify right side
    391,279.50x = 274,684,740,764.06
  5. Step 5: Solve for x
    x = 274,684,740,764.06/391,279.50
  6. Step 6: Final answer
    x = 702,016.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.