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Finding the Third Proportional to 132,589.50 and 286,189.50

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Solution

The third proportional to 132,589.50 and 286,189.50 is: 617,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,589.50 : 286,189.50 = 286,189.50 : x
  2. Step 2: Convert to fraction form
    132,589.50/286,189.50 = 286,189.50/x
  3. Step 3: Cross multiply
    132,589.50x = 286,189.50 × 286,189.50
  4. Step 4: Simplify right side
    132,589.50x = 81,904,429,910.25
  5. Step 5: Solve for x
    x = 81,904,429,910.25/132,589.50
  6. Step 6: Final answer
    x = 617,729.38

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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.