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Finding the Third Proportional to 312,200 and 663,288

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Solution

The third proportional to 312,200 and 663,288 is: 1,409,195.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,200 : 663,288 = 663,288 : x
  2. Step 2: Convert to fraction form
    312,200/663,288 = 663,288/x
  3. Step 3: Cross multiply
    312,200x = 663,288 × 663,288
  4. Step 4: Simplify right side
    312,200x = 439,950,970,944
  5. Step 5: Solve for x
    x = 439,950,970,944/312,200
  6. Step 6: Final answer
    x = 1,409,195.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.