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Finding the Third Proportional to 40,220 and 62,215

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Solution

The third proportional to 40,220 and 62,215 is: 96,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,220 : 62,215 = 62,215 : x
  2. Step 2: Convert to fraction form
    40,220/62,215 = 62,215/x
  3. Step 3: Cross multiply
    40,220x = 62,215 × 62,215
  4. Step 4: Simplify right side
    40,220x = 3,870,706,225
  5. Step 5: Solve for x
    x = 3,870,706,225/40,220
  6. Step 6: Final answer
    x = 96,238.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.