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Finding the Third Proportional to 132,558.50 and 280,470.25

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Solution

The third proportional to 132,558.50 and 280,470.25 is: 593,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,558.50 : 280,470.25 = 280,470.25 : x
  2. Step 2: Convert to fraction form
    132,558.50/280,470.25 = 280,470.25/x
  3. Step 3: Cross multiply
    132,558.50x = 280,470.25 × 280,470.25
  4. Step 4: Simplify right side
    132,558.50x = 78,663,561,135.06
  5. Step 5: Solve for x
    x = 78,663,561,135.06/132,558.50
  6. Step 6: Final answer
    x = 593,425.25

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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.