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Finding the Third Proportional to 140,080 and 209,625

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Solution

The third proportional to 140,080 and 209,625 is: 313,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,080 : 209,625 = 209,625 : x
  2. Step 2: Convert to fraction form
    140,080/209,625 = 209,625/x
  3. Step 3: Cross multiply
    140,080x = 209,625 × 209,625
  4. Step 4: Simplify right side
    140,080x = 43,942,640,625
  5. Step 5: Solve for x
    x = 43,942,640,625/140,080
  6. Step 6: Final answer
    x = 313,696.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.