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Finding the Third Proportional to 40,207.50 and 85,613.63

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Solution

The third proportional to 40,207.50 and 85,613.63 is: 182,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,207.50 : 85,613.63 = 85,613.63 : x
  2. Step 2: Convert to fraction form
    40,207.50/85,613.63 = 85,613.63/x
  3. Step 3: Cross multiply
    40,207.50x = 85,613.63 × 85,613.63
  4. Step 4: Simplify right side
    40,207.50x = 7,329,692,785.64
  5. Step 5: Solve for x
    x = 7,329,692,785.64/40,207.50
  6. Step 6: Final answer
    x = 182,296.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.