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Finding the Third Proportional to 140,975 and 218,625

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Solution

The third proportional to 140,975 and 218,625 is: 339,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,975 : 218,625 = 218,625 : x
  2. Step 2: Convert to fraction form
    140,975/218,625 = 218,625/x
  3. Step 3: Cross multiply
    140,975x = 218,625 × 218,625
  4. Step 4: Simplify right side
    140,975x = 47,796,890,625
  5. Step 5: Solve for x
    x = 47,796,890,625/140,975
  6. Step 6: Final answer
    x = 339,045.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.