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Finding the Third Proportional to 69,496 and 151,738

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Solution

The third proportional to 69,496 and 151,738 is: 331,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,496 : 151,738 = 151,738 : x
  2. Step 2: Convert to fraction form
    69,496/151,738 = 151,738/x
  3. Step 3: Cross multiply
    69,496x = 151,738 × 151,738
  4. Step 4: Simplify right side
    69,496x = 23,024,420,644
  5. Step 5: Solve for x
    x = 23,024,420,644/69,496
  6. Step 6: Final answer
    x = 331,305.70

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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.