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Finding the Third Proportional to 132,776.25 and 203,035.50

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Solution

The third proportional to 132,776.25 and 203,035.50 is: 310,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,776.25 : 203,035.50 = 203,035.50 : x
  2. Step 2: Convert to fraction form
    132,776.25/203,035.50 = 203,035.50/x
  3. Step 3: Cross multiply
    132,776.25x = 203,035.50 × 203,035.50
  4. Step 4: Simplify right side
    132,776.25x = 41,223,414,260.25
  5. Step 5: Solve for x
    x = 41,223,414,260.25/132,776.25
  6. Step 6: Final answer
    x = 310,472.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.