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Finding the Third Proportional to 68,474 and 148,180

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Solution

The third proportional to 68,474 and 148,180 is: 320,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,474 : 148,180 = 148,180 : x
  2. Step 2: Convert to fraction form
    68,474/148,180 = 148,180/x
  3. Step 3: Cross multiply
    68,474x = 148,180 × 148,180
  4. Step 4: Simplify right side
    68,474x = 21,957,312,400
  5. Step 5: Solve for x
    x = 21,957,312,400/68,474
  6. Step 6: Final answer
    x = 320,666.42

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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.