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Finding the Third Proportional to 21,744 and 36,312

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Solution

The third proportional to 21,744 and 36,312 is: 60,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744 : 36,312 = 36,312 : x
  2. Step 2: Convert to fraction form
    21,744/36,312 = 36,312/x
  3. Step 3: Cross multiply
    21,744x = 36,312 × 36,312
  4. Step 4: Simplify right side
    21,744x = 1,318,561,344
  5. Step 5: Solve for x
    x = 1,318,561,344/21,744
  6. Step 6: Final answer
    x = 60,640.24

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.