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Finding the Third Proportional to 18,613.13 and 39,823.31

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Solution

The third proportional to 18,613.13 and 39,823.31 is: 85,203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,613.13 : 39,823.31 = 39,823.31 : x
  2. Step 2: Convert to fraction form
    18,613.13/39,823.31 = 39,823.31/x
  3. Step 3: Cross multiply
    18,613.13x = 39,823.31 × 39,823.31
  4. Step 4: Simplify right side
    18,613.13x = 1,585,896,218.47
  5. Step 5: Solve for x
    x = 1,585,896,218.47/18,613.13
  6. Step 6: Final answer
    x = 85,203.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.