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Finding the Third Proportional to 128,836.50 and 280,545.56

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Solution

The third proportional to 128,836.50 and 280,545.56 is: 610,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,836.50 : 280,545.56 = 280,545.56 : x
  2. Step 2: Convert to fraction form
    128,836.50/280,545.56 = 280,545.56/x
  3. Step 3: Cross multiply
    128,836.50x = 280,545.56 × 280,545.56
  4. Step 4: Simplify right side
    128,836.50x = 78,705,812,638.44
  5. Step 5: Solve for x
    x = 78,705,812,638.44/128,836.50
  6. Step 6: Final answer
    x = 610,896.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.