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Finding the Third Proportional to 20,438 and 37,960

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Solution

The third proportional to 20,438 and 37,960 is: 70,504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438 : 37,960 = 37,960 : x
  2. Step 2: Convert to fraction form
    20,438/37,960 = 37,960/x
  3. Step 3: Cross multiply
    20,438x = 37,960 × 37,960
  4. Step 4: Simplify right side
    20,438x = 1,440,961,600
  5. Step 5: Solve for x
    x = 1,440,961,600/20,438
  6. Step 6: Final answer
    x = 70,504.04

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.