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Finding the Third Proportional to 15,767 and 21,039

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Solution

The third proportional to 15,767 and 21,039 is: 28,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767 : 21,039 = 21,039 : x
  2. Step 2: Convert to fraction form
    15,767/21,039 = 21,039/x
  3. Step 3: Cross multiply
    15,767x = 21,039 × 21,039
  4. Step 4: Simplify right side
    15,767x = 442,639,521
  5. Step 5: Solve for x
    x = 442,639,521/15,767
  6. Step 6: Final answer
    x = 28,073.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.