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Finding the Third Proportional to 31,202 and 67,396

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Solution

The third proportional to 31,202 and 67,396 is: 145,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202 : 67,396 = 67,396 : x
  2. Step 2: Convert to fraction form
    31,202/67,396 = 67,396/x
  3. Step 3: Cross multiply
    31,202x = 67,396 × 67,396
  4. Step 4: Simplify right side
    31,202x = 4,542,220,816
  5. Step 5: Solve for x
    x = 4,542,220,816/31,202
  6. Step 6: Final answer
    x = 145,574.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.