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Finding the Third Proportional to 40,821 and 63,081

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Solution

The third proportional to 40,821 and 63,081 is: 97,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,821 : 63,081 = 63,081 : x
  2. Step 2: Convert to fraction form
    40,821/63,081 = 63,081/x
  3. Step 3: Cross multiply
    40,821x = 63,081 × 63,081
  4. Step 4: Simplify right side
    40,821x = 3,979,212,561
  5. Step 5: Solve for x
    x = 3,979,212,561/40,821
  6. Step 6: Final answer
    x = 97,479.55

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Why These Related Problems?

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