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Finding the Third Proportional to 30,438 and 65,412

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Solution

The third proportional to 30,438 and 65,412 is: 140,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438 : 65,412 = 65,412 : x
  2. Step 2: Convert to fraction form
    30,438/65,412 = 65,412/x
  3. Step 3: Cross multiply
    30,438x = 65,412 × 65,412
  4. Step 4: Simplify right side
    30,438x = 4,278,729,744
  5. Step 5: Solve for x
    x = 4,278,729,744/30,438
  6. Step 6: Final answer
    x = 140,571.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.