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Finding the Third Proportional to 307,960.88 and 658,481.63

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Solution

The third proportional to 307,960.88 and 658,481.63 is: 1,407,964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,960.88 : 658,481.63 = 658,481.63 : x
  2. Step 2: Convert to fraction form
    307,960.88/658,481.63 = 658,481.63/x
  3. Step 3: Cross multiply
    307,960.88x = 658,481.63 × 658,481.63
  4. Step 4: Simplify right side
    307,960.88x = 433,598,050,462.64
  5. Step 5: Solve for x
    x = 433,598,050,462.64/307,960.88
  6. Step 6: Final answer
    x = 1,407,964.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.