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Finding the Third Proportional to 21,578 and 29,531

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Solution

The third proportional to 21,578 and 29,531 is: 40,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578 : 29,531 = 29,531 : x
  2. Step 2: Convert to fraction form
    21,578/29,531 = 29,531/x
  3. Step 3: Cross multiply
    21,578x = 29,531 × 29,531
  4. Step 4: Simplify right side
    21,578x = 872,079,961
  5. Step 5: Solve for x
    x = 872,079,961/21,578
  6. Step 6: Final answer
    x = 40,415.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.