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Finding the Third Proportional to 89,508 and 125,464.50

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Solution

The third proportional to 89,508 and 125,464.50 is: 175,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,508 : 125,464.50 = 125,464.50 : x
  2. Step 2: Convert to fraction form
    89,508/125,464.50 = 125,464.50/x
  3. Step 3: Cross multiply
    89,508x = 125,464.50 × 125,464.50
  4. Step 4: Simplify right side
    89,508x = 15,741,340,760.25
  5. Step 5: Solve for x
    x = 15,741,340,760.25/89,508
  6. Step 6: Final answer
    x = 175,865.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.