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Finding the Third Proportional to 31,711 and 69,365

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Solution

The third proportional to 31,711 and 69,365 is: 151,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,711 : 69,365 = 69,365 : x
  2. Step 2: Convert to fraction form
    31,711/69,365 = 69,365/x
  3. Step 3: Cross multiply
    31,711x = 69,365 × 69,365
  4. Step 4: Simplify right side
    31,711x = 4,811,503,225
  5. Step 5: Solve for x
    x = 4,811,503,225/31,711
  6. Step 6: Final answer
    x = 151,729.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.