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Finding the Third Proportional to 99,331 and 217,557.50

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Solution

The third proportional to 99,331 and 217,557.50 is: 476,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,331 : 217,557.50 = 217,557.50 : x
  2. Step 2: Convert to fraction form
    99,331/217,557.50 = 217,557.50/x
  3. Step 3: Cross multiply
    99,331x = 217,557.50 × 217,557.50
  4. Step 4: Simplify right side
    99,331x = 47,331,265,806.25
  5. Step 5: Solve for x
    x = 47,331,265,806.25/99,331
  6. Step 6: Final answer
    x = 476,500.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.