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Finding the Third Proportional to 21,983.20 and 34,060.78

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Solution

The third proportional to 21,983.20 and 34,060.78 is: 52,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,983.20 : 34,060.78 = 34,060.78 : x
  2. Step 2: Convert to fraction form
    21,983.20/34,060.78 = 34,060.78/x
  3. Step 3: Cross multiply
    21,983.20x = 34,060.78 × 34,060.78
  4. Step 4: Simplify right side
    21,983.20x = 1,160,136,819.36
  5. Step 5: Solve for x
    x = 1,160,136,819.36/21,983.20
  6. Step 6: Final answer
    x = 52,773.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.