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Finding the Third Proportional to 69,586 and 149,008

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Solution

The third proportional to 69,586 and 149,008 is: 319,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,586 : 149,008 = 149,008 : x
  2. Step 2: Convert to fraction form
    69,586/149,008 = 149,008/x
  3. Step 3: Cross multiply
    69,586x = 149,008 × 149,008
  4. Step 4: Simplify right side
    69,586x = 22,203,384,064
  5. Step 5: Solve for x
    x = 22,203,384,064/69,586
  6. Step 6: Final answer
    x = 319,078.32

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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.