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Finding the Third Proportional to 206,550 and 332,545.50

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Solution

The third proportional to 206,550 and 332,545.50 is: 535,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,550 : 332,545.50 = 332,545.50 : x
  2. Step 2: Convert to fraction form
    206,550/332,545.50 = 332,545.50/x
  3. Step 3: Cross multiply
    206,550x = 332,545.50 × 332,545.50
  4. Step 4: Simplify right side
    206,550x = 110,586,509,570.25
  5. Step 5: Solve for x
    x = 110,586,509,570.25/206,550
  6. Step 6: Final answer
    x = 535,398.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.