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Finding the Third Proportional to 21,963 and 29,920.50

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Solution

The third proportional to 21,963 and 29,920.50 is: 40,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963 : 29,920.50 = 29,920.50 : x
  2. Step 2: Convert to fraction form
    21,963/29,920.50 = 29,920.50/x
  3. Step 3: Cross multiply
    21,963x = 29,920.50 × 29,920.50
  4. Step 4: Simplify right side
    21,963x = 895,236,320.25
  5. Step 5: Solve for x
    x = 895,236,320.25/21,963
  6. Step 6: Final answer
    x = 40,761.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.