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Finding the Third Proportional to 17,752 and 38,121

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Solution

The third proportional to 17,752 and 38,121 is: 81,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752 : 38,121 = 38,121 : x
  2. Step 2: Convert to fraction form
    17,752/38,121 = 38,121/x
  3. Step 3: Cross multiply
    17,752x = 38,121 × 38,121
  4. Step 4: Simplify right side
    17,752x = 1,453,210,641
  5. Step 5: Solve for x
    x = 1,453,210,641/17,752
  6. Step 6: Final answer
    x = 81,861.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.