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Finding the Third Proportional to 69,368 and 149,662

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Solution

The third proportional to 69,368 and 149,662 is: 322,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,368 : 149,662 = 149,662 : x
  2. Step 2: Convert to fraction form
    69,368/149,662 = 149,662/x
  3. Step 3: Cross multiply
    69,368x = 149,662 × 149,662
  4. Step 4: Simplify right side
    69,368x = 22,398,714,244
  5. Step 5: Solve for x
    x = 22,398,714,244/69,368
  6. Step 6: Final answer
    x = 322,896.93

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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.