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Finding the Third Proportional to 69,633 and 151,677

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Solution

The third proportional to 69,633 and 151,677 is: 330,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,633 : 151,677 = 151,677 : x
  2. Step 2: Convert to fraction form
    69,633/151,677 = 151,677/x
  3. Step 3: Cross multiply
    69,633x = 151,677 × 151,677
  4. Step 4: Simplify right side
    69,633x = 23,005,912,329
  5. Step 5: Solve for x
    x = 23,005,912,329/69,633
  6. Step 6: Final answer
    x = 330,388.07

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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.