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Finding the Third Proportional to 69,555 and 149,907

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Solution

The third proportional to 69,555 and 149,907 is: 323,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,555 : 149,907 = 149,907 : x
  2. Step 2: Convert to fraction form
    69,555/149,907 = 149,907/x
  3. Step 3: Cross multiply
    69,555x = 149,907 × 149,907
  4. Step 4: Simplify right side
    69,555x = 22,472,108,649
  5. Step 5: Solve for x
    x = 22,472,108,649/69,555
  6. Step 6: Final answer
    x = 323,084.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.