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Finding the Third Proportional to 140,749.25 and 207,400

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Solution

The third proportional to 140,749.25 and 207,400 is: 305,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,749.25 : 207,400 = 207,400 : x
  2. Step 2: Convert to fraction form
    140,749.25/207,400 = 207,400/x
  3. Step 3: Cross multiply
    140,749.25x = 207,400 × 207,400
  4. Step 4: Simplify right side
    140,749.25x = 43,014,760,000
  5. Step 5: Solve for x
    x = 43,014,760,000/140,749.25
  6. Step 6: Final answer
    x = 305,612.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.