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Finding the Third Proportional to 312,939 and 469,194.75

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Solution

The third proportional to 312,939 and 469,194.75 is: 703,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,939 : 469,194.75 = 469,194.75 : x
  2. Step 2: Convert to fraction form
    312,939/469,194.75 = 469,194.75/x
  3. Step 3: Cross multiply
    312,939x = 469,194.75 × 469,194.75
  4. Step 4: Simplify right side
    312,939x = 220,143,713,427.56
  5. Step 5: Solve for x
    x = 220,143,713,427.56/312,939
  6. Step 6: Final answer
    x = 703,471.65

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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.