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Finding the Third Proportional to 33,090 and 70,797

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Solution

The third proportional to 33,090 and 70,797 is: 151,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,090 : 70,797 = 70,797 : x
  2. Step 2: Convert to fraction form
    33,090/70,797 = 70,797/x
  3. Step 3: Cross multiply
    33,090x = 70,797 × 70,797
  4. Step 4: Simplify right side
    33,090x = 5,012,215,209
  5. Step 5: Solve for x
    x = 5,012,215,209/33,090
  6. Step 6: Final answer
    x = 151,472.20

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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.