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Finding the Third Proportional to 21,288 and 29,952

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Solution

The third proportional to 21,288 and 29,952 is: 42,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,288 : 29,952 = 29,952 : x
  2. Step 2: Convert to fraction form
    21,288/29,952 = 29,952/x
  3. Step 3: Cross multiply
    21,288x = 29,952 × 29,952
  4. Step 4: Simplify right side
    21,288x = 897,122,304
  5. Step 5: Solve for x
    x = 897,122,304/21,288
  6. Step 6: Final answer
    x = 42,142.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.