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Finding the Third Proportional to 13,853 and 19,959

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Solution

The third proportional to 13,853 and 19,959 is: 28,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853 : 19,959 = 19,959 : x
  2. Step 2: Convert to fraction form
    13,853/19,959 = 19,959/x
  3. Step 3: Cross multiply
    13,853x = 19,959 × 19,959
  4. Step 4: Simplify right side
    13,853x = 398,361,681
  5. Step 5: Solve for x
    x = 398,361,681/13,853
  6. Step 6: Final answer
    x = 28,756.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.