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Finding the Third Proportional to 8,512.31 and 19,780.88

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Solution

The third proportional to 8,512.31 and 19,780.88 is: 45,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.31 : 19,780.88 = 19,780.88 : x
  2. Step 2: Convert to fraction form
    8,512.31/19,780.88 = 19,780.88/x
  3. Step 3: Cross multiply
    8,512.31x = 19,780.88 × 19,780.88
  4. Step 4: Simplify right side
    8,512.31x = 391,283,015.77
  5. Step 5: Solve for x
    x = 391,283,015.77/8,512.31
  6. Step 6: Final answer
    x = 45,966.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.