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Finding the Third Proportional to 200,957 and 267,890

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Solution

The third proportional to 200,957 and 267,890 is: 357,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,957 : 267,890 = 267,890 : x
  2. Step 2: Convert to fraction form
    200,957/267,890 = 267,890/x
  3. Step 3: Cross multiply
    200,957x = 267,890 × 267,890
  4. Step 4: Simplify right side
    200,957x = 71,765,052,100
  5. Step 5: Solve for x
    x = 71,765,052,100/200,957
  6. Step 6: Final answer
    x = 357,116.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.