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Finding the Third Proportional to 19,821 and 29,074

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Solution

The third proportional to 19,821 and 29,074 is: 42,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821 : 29,074 = 29,074 : x
  2. Step 2: Convert to fraction form
    19,821/29,074 = 29,074/x
  3. Step 3: Cross multiply
    19,821x = 29,074 × 29,074
  4. Step 4: Simplify right side
    19,821x = 845,297,476
  5. Step 5: Solve for x
    x = 845,297,476/19,821
  6. Step 6: Final answer
    x = 42,646.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.