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Finding the Third Proportional to 200,722.50 and 421,149.38

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Solution

The third proportional to 200,722.50 and 421,149.38 is: 883,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,722.50 : 421,149.38 = 421,149.38 : x
  2. Step 2: Convert to fraction form
    200,722.50/421,149.38 = 421,149.38/x
  3. Step 3: Cross multiply
    200,722.50x = 421,149.38 × 421,149.38
  4. Step 4: Simplify right side
    200,722.50x = 177,366,796,062.89
  5. Step 5: Solve for x
    x = 177,366,796,062.89/200,722.50
  6. Step 6: Final answer
    x = 883,641.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.