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Finding the Third Proportional to 21,432 and 51,642

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Solution

The third proportional to 21,432 and 51,642 is: 124,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,432 : 51,642 = 51,642 : x
  2. Step 2: Convert to fraction form
    21,432/51,642 = 51,642/x
  3. Step 3: Cross multiply
    21,432x = 51,642 × 51,642
  4. Step 4: Simplify right side
    21,432x = 2,666,896,164
  5. Step 5: Solve for x
    x = 2,666,896,164/21,432
  6. Step 6: Final answer
    x = 124,435.24

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.