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Finding the Third Proportional to 200,915 and 442,006

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Solution

The third proportional to 200,915 and 442,006 is: 972,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,915 : 442,006 = 442,006 : x
  2. Step 2: Convert to fraction form
    200,915/442,006 = 442,006/x
  3. Step 3: Cross multiply
    200,915x = 442,006 × 442,006
  4. Step 4: Simplify right side
    200,915x = 195,369,304,036
  5. Step 5: Solve for x
    x = 195,369,304,036/200,915
  6. Step 6: Final answer
    x = 972,397.80

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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.