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Finding the Third Proportional to 200,040 and 472,209

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Solution

The third proportional to 200,040 and 472,209 is: 1,114,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,040 : 472,209 = 472,209 : x
  2. Step 2: Convert to fraction form
    200,040/472,209 = 472,209/x
  3. Step 3: Cross multiply
    200,040x = 472,209 × 472,209
  4. Step 4: Simplify right side
    200,040x = 222,981,339,681
  5. Step 5: Solve for x
    x = 222,981,339,681/200,040
  6. Step 6: Final answer
    x = 1,114,683.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.