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Finding the Third Proportional to 15,726 and 21,642

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Solution

The third proportional to 15,726 and 21,642 is: 29,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726 : 21,642 = 21,642 : x
  2. Step 2: Convert to fraction form
    15,726/21,642 = 21,642/x
  3. Step 3: Cross multiply
    15,726x = 21,642 × 21,642
  4. Step 4: Simplify right side
    15,726x = 468,376,164
  5. Step 5: Solve for x
    x = 468,376,164/15,726
  6. Step 6: Final answer
    x = 29,783.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.