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Finding the Third Proportional to 162,416.25 and 391,279.50

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Solution

The third proportional to 162,416.25 and 391,279.50 is: 942,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,416.25 : 391,279.50 = 391,279.50 : x
  2. Step 2: Convert to fraction form
    162,416.25/391,279.50 = 391,279.50/x
  3. Step 3: Cross multiply
    162,416.25x = 391,279.50 × 391,279.50
  4. Step 4: Simplify right side
    162,416.25x = 153,099,647,120.25
  5. Step 5: Solve for x
    x = 153,099,647,120.25/162,416.25
  6. Step 6: Final answer
    x = 942,637.50

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.