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Finding the Third Proportional to 21,767 and 29,368

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Solution

The third proportional to 21,767 and 29,368 is: 39,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,767 : 29,368 = 29,368 : x
  2. Step 2: Convert to fraction form
    21,767/29,368 = 29,368/x
  3. Step 3: Cross multiply
    21,767x = 29,368 × 29,368
  4. Step 4: Simplify right side
    21,767x = 862,479,424
  5. Step 5: Solve for x
    x = 862,479,424/21,767
  6. Step 6: Final answer
    x = 39,623.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.