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Finding the Third Proportional to 100,077.75 and 217,651.50

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Solution

The third proportional to 100,077.75 and 217,651.50 is: 473,353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,077.75 : 217,651.50 = 217,651.50 : x
  2. Step 2: Convert to fraction form
    100,077.75/217,651.50 = 217,651.50/x
  3. Step 3: Cross multiply
    100,077.75x = 217,651.50 × 217,651.50
  4. Step 4: Simplify right side
    100,077.75x = 47,372,175,452.25
  5. Step 5: Solve for x
    x = 47,372,175,452.25/100,077.75
  6. Step 6: Final answer
    x = 473,353.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.