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Finding the Third Proportional to 17,972 and 38,407

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Solution

The third proportional to 17,972 and 38,407 is: 82,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,972 : 38,407 = 38,407 : x
  2. Step 2: Convert to fraction form
    17,972/38,407 = 38,407/x
  3. Step 3: Cross multiply
    17,972x = 38,407 × 38,407
  4. Step 4: Simplify right side
    17,972x = 1,475,097,649
  5. Step 5: Solve for x
    x = 1,475,097,649/17,972
  6. Step 6: Final answer
    x = 82,077.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.