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Finding the Third Proportional to 15,419 and 31,932

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Solution

The third proportional to 15,419 and 31,932 is: 66,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,419 : 31,932 = 31,932 : x
  2. Step 2: Convert to fraction form
    15,419/31,932 = 31,932/x
  3. Step 3: Cross multiply
    15,419x = 31,932 × 31,932
  4. Step 4: Simplify right side
    15,419x = 1,019,652,624
  5. Step 5: Solve for x
    x = 1,019,652,624/15,419
  6. Step 6: Final answer
    x = 66,129.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.