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Finding the Third Proportional to 85,447.13 and 135,127.69

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Solution

The third proportional to 85,447.13 and 135,127.69 is: 213,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,447.13 : 135,127.69 = 135,127.69 : x
  2. Step 2: Convert to fraction form
    85,447.13/135,127.69 = 135,127.69/x
  3. Step 3: Cross multiply
    85,447.13x = 135,127.69 × 135,127.69
  4. Step 4: Simplify right side
    85,447.13x = 18,259,491,929.10
  5. Step 5: Solve for x
    x = 18,259,491,929.10/85,447.13
  6. Step 6: Final answer
    x = 213,693.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.