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Finding the Third Proportional to 200,932 and 442,038

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Solution

The third proportional to 200,932 and 442,038 is: 972,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,932 : 442,038 = 442,038 : x
  2. Step 2: Convert to fraction form
    200,932/442,038 = 442,038/x
  3. Step 3: Cross multiply
    200,932x = 442,038 × 442,038
  4. Step 4: Simplify right side
    200,932x = 195,397,593,444
  5. Step 5: Solve for x
    x = 195,397,593,444/200,932
  6. Step 6: Final answer
    x = 972,456.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.