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Finding the Third Proportional to 20,102 and 28,959

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Solution

The third proportional to 20,102 and 28,959 is: 41,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102 : 28,959 = 28,959 : x
  2. Step 2: Convert to fraction form
    20,102/28,959 = 28,959/x
  3. Step 3: Cross multiply
    20,102x = 28,959 × 28,959
  4. Step 4: Simplify right side
    20,102x = 838,623,681
  5. Step 5: Solve for x
    x = 838,623,681/20,102
  6. Step 6: Final answer
    x = 41,718.42

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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.