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Finding the Third Proportional to 45,711 and 67,212

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Solution

The third proportional to 45,711 and 67,212 is: 98,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,711 : 67,212 = 67,212 : x
  2. Step 2: Convert to fraction form
    45,711/67,212 = 67,212/x
  3. Step 3: Cross multiply
    45,711x = 67,212 × 67,212
  4. Step 4: Simplify right side
    45,711x = 4,517,452,944
  5. Step 5: Solve for x
    x = 4,517,452,944/45,711
  6. Step 6: Final answer
    x = 98,826.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.