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Finding the Third Proportional to 140,157 and 217,618.50

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Solution

The third proportional to 140,157 and 217,618.50 is: 337,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,157 : 217,618.50 = 217,618.50 : x
  2. Step 2: Convert to fraction form
    140,157/217,618.50 = 217,618.50/x
  3. Step 3: Cross multiply
    140,157x = 217,618.50 × 217,618.50
  4. Step 4: Simplify right side
    140,157x = 47,357,811,542.25
  5. Step 5: Solve for x
    x = 47,357,811,542.25/140,157
  6. Step 6: Final answer
    x = 337,891.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.