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Finding the Third Proportional to 12,742 and 19,681

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Solution

The third proportional to 12,742 and 19,681 is: 30,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742 : 19,681 = 19,681 : x
  2. Step 2: Convert to fraction form
    12,742/19,681 = 19,681/x
  3. Step 3: Cross multiply
    12,742x = 19,681 × 19,681
  4. Step 4: Simplify right side
    12,742x = 387,341,761
  5. Step 5: Solve for x
    x = 387,341,761/12,742
  6. Step 6: Final answer
    x = 30,398.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.