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Finding the Third Proportional to 18,399.66 and 39,713.63

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Solution

The third proportional to 18,399.66 and 39,713.63 is: 85,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,399.66 : 39,713.63 = 39,713.63 : x
  2. Step 2: Convert to fraction form
    18,399.66/39,713.63 = 39,713.63/x
  3. Step 3: Cross multiply
    18,399.66x = 39,713.63 × 39,713.63
  4. Step 4: Simplify right side
    18,399.66x = 1,577,172,010.64
  5. Step 5: Solve for x
    x = 1,577,172,010.64/18,399.66
  6. Step 6: Final answer
    x = 85,717.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.