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Finding the Third Proportional to 312,950 and 675,782

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Solution

The third proportional to 312,950 and 675,782 is: 1,459,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,950 : 675,782 = 675,782 : x
  2. Step 2: Convert to fraction form
    312,950/675,782 = 675,782/x
  3. Step 3: Cross multiply
    312,950x = 675,782 × 675,782
  4. Step 4: Simplify right side
    312,950x = 456,681,311,524
  5. Step 5: Solve for x
    x = 456,681,311,524/312,950
  6. Step 6: Final answer
    x = 1,459,278.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.