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Finding the Third Proportional to 135,229.50 and 287,226

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Solution

The third proportional to 135,229.50 and 287,226 is: 610,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,229.50 : 287,226 = 287,226 : x
  2. Step 2: Convert to fraction form
    135,229.50/287,226 = 287,226/x
  3. Step 3: Cross multiply
    135,229.50x = 287,226 × 287,226
  4. Step 4: Simplify right side
    135,229.50x = 82,498,775,076
  5. Step 5: Solve for x
    x = 82,498,775,076/135,229.50
  6. Step 6: Final answer
    x = 610,064.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.