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Finding the Third Proportional to 200,691.42 and 417,990.38

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Solution

The third proportional to 200,691.42 and 417,990.38 is: 870,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,691.42 : 417,990.38 = 417,990.38 : x
  2. Step 2: Convert to fraction form
    200,691.42/417,990.38 = 417,990.38/x
  3. Step 3: Cross multiply
    200,691.42x = 417,990.38 × 417,990.38
  4. Step 4: Simplify right side
    200,691.42x = 174,715,953,592.64
  5. Step 5: Solve for x
    x = 174,715,953,592.64/200,691.42
  6. Step 6: Final answer
    x = 870,570.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.