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Finding the Third Proportional to 200,946 and 280,952

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Solution

The third proportional to 200,946 and 280,952 is: 392,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,946 : 280,952 = 280,952 : x
  2. Step 2: Convert to fraction form
    200,946/280,952 = 280,952/x
  3. Step 3: Cross multiply
    200,946x = 280,952 × 280,952
  4. Step 4: Simplify right side
    200,946x = 78,934,026,304
  5. Step 5: Solve for x
    x = 78,934,026,304/200,946
  6. Step 6: Final answer
    x = 392,812.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.