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Finding the Third Proportional to 68,830 and 148,675

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Solution

The third proportional to 68,830 and 148,675 is: 321,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,830 : 148,675 = 148,675 : x
  2. Step 2: Convert to fraction form
    68,830/148,675 = 148,675/x
  3. Step 3: Cross multiply
    68,830x = 148,675 × 148,675
  4. Step 4: Simplify right side
    68,830x = 22,104,255,625
  5. Step 5: Solve for x
    x = 22,104,255,625/68,830
  6. Step 6: Final answer
    x = 321,142.75

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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.