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Finding the Third Proportional to 21,542 and 45,642

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Solution

The third proportional to 21,542 and 45,642 is: 96,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,542 : 45,642 = 45,642 : x
  2. Step 2: Convert to fraction form
    21,542/45,642 = 45,642/x
  3. Step 3: Cross multiply
    21,542x = 45,642 × 45,642
  4. Step 4: Simplify right side
    21,542x = 2,083,192,164
  5. Step 5: Solve for x
    x = 2,083,192,164/21,542
  6. Step 6: Final answer
    x = 96,703.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.