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Finding the Third Proportional to 69,286 and 149,382

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Solution

The third proportional to 69,286 and 149,382 is: 322,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,286 : 149,382 = 149,382 : x
  2. Step 2: Convert to fraction form
    69,286/149,382 = 149,382/x
  3. Step 3: Cross multiply
    69,286x = 149,382 × 149,382
  4. Step 4: Simplify right side
    69,286x = 22,314,981,924
  5. Step 5: Solve for x
    x = 22,314,981,924/69,286
  6. Step 6: Final answer
    x = 322,070.58

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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.