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Finding the Third Proportional to 397,860.44 and 631,031.38

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Solution

The third proportional to 397,860.44 and 631,031.38 is: 1,000,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,860.44 : 631,031.38 = 631,031.38 : x
  2. Step 2: Convert to fraction form
    397,860.44/631,031.38 = 631,031.38/x
  3. Step 3: Cross multiply
    397,860.44x = 631,031.38 × 631,031.38
  4. Step 4: Simplify right side
    397,860.44x = 398,200,596,234.39
  5. Step 5: Solve for x
    x = 398,200,596,234.39/397,860.44
  6. Step 6: Final answer
    x = 1,000,854.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.