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Finding the Third Proportional to 70,511 and 153,885

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Solution

The third proportional to 70,511 and 153,885 is: 335,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,511 : 153,885 = 153,885 : x
  2. Step 2: Convert to fraction form
    70,511/153,885 = 153,885/x
  3. Step 3: Cross multiply
    70,511x = 153,885 × 153,885
  4. Step 4: Simplify right side
    70,511x = 23,680,593,225
  5. Step 5: Solve for x
    x = 23,680,593,225/70,511
  6. Step 6: Final answer
    x = 335,842.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.