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Finding the Third Proportional to 72,882 and 96,858

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Solution

The third proportional to 72,882 and 96,858 is: 128,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,882 : 96,858 = 96,858 : x
  2. Step 2: Convert to fraction form
    72,882/96,858 = 96,858/x
  3. Step 3: Cross multiply
    72,882x = 96,858 × 96,858
  4. Step 4: Simplify right side
    72,882x = 9,381,472,164
  5. Step 5: Solve for x
    x = 9,381,472,164/72,882
  6. Step 6: Final answer
    x = 128,721.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.