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Finding the Third Proportional to 33,127 and 70,932

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Solution

The third proportional to 33,127 and 70,932 is: 151,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,127 : 70,932 = 70,932 : x
  2. Step 2: Convert to fraction form
    33,127/70,932 = 70,932/x
  3. Step 3: Cross multiply
    33,127x = 70,932 × 70,932
  4. Step 4: Simplify right side
    33,127x = 5,031,348,624
  5. Step 5: Solve for x
    x = 5,031,348,624/33,127
  6. Step 6: Final answer
    x = 151,880.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.