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Finding the Third Proportional to 312,910.50 and 642,409.13

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Solution

The third proportional to 312,910.50 and 642,409.13 is: 1,318,873.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,910.50 : 642,409.13 = 642,409.13 : x
  2. Step 2: Convert to fraction form
    312,910.50/642,409.13 = 642,409.13/x
  3. Step 3: Cross multiply
    312,910.50x = 642,409.13 × 642,409.13
  4. Step 4: Simplify right side
    312,910.50x = 412,689,483,883.27
  5. Step 5: Solve for x
    x = 412,689,483,883.27/312,910.50
  6. Step 6: Final answer
    x = 1,318,873.88

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.