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Finding the Third Proportional to 132,559.03 and 286,129.97

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Solution

The third proportional to 132,559.03 and 286,129.97 is: 617,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,559.03 : 286,129.97 = 286,129.97 : x
  2. Step 2: Convert to fraction form
    132,559.03/286,129.97 = 286,129.97/x
  3. Step 3: Cross multiply
    132,559.03x = 286,129.97 × 286,129.97
  4. Step 4: Simplify right side
    132,559.03x = 81,870,359,016.88
  5. Step 5: Solve for x
    x = 81,870,359,016.88/132,559.03
  6. Step 6: Final answer
    x = 617,614.34

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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.