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Finding the Third Proportional to 69,357 and 149,640

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Solution

The third proportional to 69,357 and 149,640 is: 322,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,357 : 149,640 = 149,640 : x
  2. Step 2: Convert to fraction form
    69,357/149,640 = 149,640/x
  3. Step 3: Cross multiply
    69,357x = 149,640 × 149,640
  4. Step 4: Simplify right side
    69,357x = 22,392,129,600
  5. Step 5: Solve for x
    x = 22,392,129,600/69,357
  6. Step 6: Final answer
    x = 322,853.20

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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.