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Finding the Third Proportional to 132,560.72 and 280,475.16

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Solution

The third proportional to 132,560.72 and 280,475.16 is: 593,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,560.72 : 280,475.16 = 280,475.16 : x
  2. Step 2: Convert to fraction form
    132,560.72/280,475.16 = 280,475.16/x
  3. Step 3: Cross multiply
    132,560.72x = 280,475.16 × 280,475.16
  4. Step 4: Simplify right side
    132,560.72x = 78,666,313,273.46
  5. Step 5: Solve for x
    x = 78,666,313,273.46/132,560.72
  6. Step 6: Final answer
    x = 593,436.08

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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.