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Finding the Third Proportional to 19,488 and 29,720

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Solution

The third proportional to 19,488 and 29,720 is: 45,324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,488 : 29,720 = 29,720 : x
  2. Step 2: Convert to fraction form
    19,488/29,720 = 29,720/x
  3. Step 3: Cross multiply
    19,488x = 29,720 × 29,720
  4. Step 4: Simplify right side
    19,488x = 883,278,400
  5. Step 5: Solve for x
    x = 883,278,400/19,488
  6. Step 6: Final answer
    x = 45,324.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.