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Finding the Third Proportional to 202,279.50 and 291,377.25

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Solution

The third proportional to 202,279.50 and 291,377.25 is: 419,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,279.50 : 291,377.25 = 291,377.25 : x
  2. Step 2: Convert to fraction form
    202,279.50/291,377.25 = 291,377.25/x
  3. Step 3: Cross multiply
    202,279.50x = 291,377.25 × 291,377.25
  4. Step 4: Simplify right side
    202,279.50x = 84,900,701,817.56
  5. Step 5: Solve for x
    x = 84,900,701,817.56/202,279.50
  6. Step 6: Final answer
    x = 419,719.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.