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Finding the Third Proportional to 40,383 and 82,780.88

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Solution

The third proportional to 40,383 and 82,780.88 is: 169,692.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,383 : 82,780.88 = 82,780.88 : x
  2. Step 2: Convert to fraction form
    40,383/82,780.88 = 82,780.88/x
  3. Step 3: Cross multiply
    40,383x = 82,780.88 × 82,780.88
  4. Step 4: Simplify right side
    40,383x = 6,852,673,265.77
  5. Step 5: Solve for x
    x = 6,852,673,265.77/40,383
  6. Step 6: Final answer
    x = 169,692.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.