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Finding the Third Proportional to 312,194.25 and 650,814.75

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Solution

The third proportional to 312,194.25 and 650,814.75 is: 1,356,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,194.25 : 650,814.75 = 650,814.75 : x
  2. Step 2: Convert to fraction form
    312,194.25/650,814.75 = 650,814.75/x
  3. Step 3: Cross multiply
    312,194.25x = 650,814.75 × 650,814.75
  4. Step 4: Simplify right side
    312,194.25x = 423,559,838,817.56
  5. Step 5: Solve for x
    x = 423,559,838,817.56/312,194.25
  6. Step 6: Final answer
    x = 1,356,718.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.