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Finding the Third Proportional to 69,081.29 and 109,851.19

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Solution

The third proportional to 69,081.29 and 109,851.19 is: 174,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,081.29 : 109,851.19 = 109,851.19 : x
  2. Step 2: Convert to fraction form
    69,081.29/109,851.19 = 109,851.19/x
  3. Step 3: Cross multiply
    69,081.29x = 109,851.19 × 109,851.19
  4. Step 4: Simplify right side
    69,081.29x = 12,067,283,395.16
  5. Step 5: Solve for x
    x = 12,067,283,395.16/69,081.29
  6. Step 6: Final answer
    x = 174,682.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.