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Finding the Third Proportional to 9,781.50 and 21,091.88

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Solution

The third proportional to 9,781.50 and 21,091.88 is: 45,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.50 : 21,091.88 = 21,091.88 : x
  2. Step 2: Convert to fraction form
    9,781.50/21,091.88 = 21,091.88/x
  3. Step 3: Cross multiply
    9,781.50x = 21,091.88 × 21,091.88
  4. Step 4: Simplify right side
    9,781.50x = 444,867,191.02
  5. Step 5: Solve for x
    x = 444,867,191.02/9,781.50
  6. Step 6: Final answer
    x = 45,480.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.