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Finding the Third Proportional to 253,279.50 and 385,140.75

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Solution

The third proportional to 253,279.50 and 385,140.75 is: 585,651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,279.50 : 385,140.75 = 385,140.75 : x
  2. Step 2: Convert to fraction form
    253,279.50/385,140.75 = 385,140.75/x
  3. Step 3: Cross multiply
    253,279.50x = 385,140.75 × 385,140.75
  4. Step 4: Simplify right side
    253,279.50x = 148,333,397,310.56
  5. Step 5: Solve for x
    x = 148,333,397,310.56/253,279.50
  6. Step 6: Final answer
    x = 585,651.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.