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Finding the Third Proportional to 13,640 and 19,952

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Solution

The third proportional to 13,640 and 19,952 is: 29,184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640 : 19,952 = 19,952 : x
  2. Step 2: Convert to fraction form
    13,640/19,952 = 19,952/x
  3. Step 3: Cross multiply
    13,640x = 19,952 × 19,952
  4. Step 4: Simplify right side
    13,640x = 398,082,304
  5. Step 5: Solve for x
    x = 398,082,304/13,640
  6. Step 6: Final answer
    x = 29,184.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.