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Finding the Third Proportional to 19,872 and 29,120

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Solution

The third proportional to 19,872 and 29,120 is: 42,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872 : 29,120 = 29,120 : x
  2. Step 2: Convert to fraction form
    19,872/29,120 = 29,120/x
  3. Step 3: Cross multiply
    19,872x = 29,120 × 29,120
  4. Step 4: Simplify right side
    19,872x = 847,974,400
  5. Step 5: Solve for x
    x = 847,974,400/19,872
  6. Step 6: Final answer
    x = 42,671.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.