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Finding the Third Proportional to 19,581 and 29,742

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Solution

The third proportional to 19,581 and 29,742 is: 45,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,581 : 29,742 = 29,742 : x
  2. Step 2: Convert to fraction form
    19,581/29,742 = 29,742/x
  3. Step 3: Cross multiply
    19,581x = 29,742 × 29,742
  4. Step 4: Simplify right side
    19,581x = 884,586,564
  5. Step 5: Solve for x
    x = 884,586,564/19,581
  6. Step 6: Final answer
    x = 45,175.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.