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Finding the Third Proportional to 313,287.75 and 662,296.50

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Solution

The third proportional to 313,287.75 and 662,296.50 is: 1,400,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,287.75 : 662,296.50 = 662,296.50 : x
  2. Step 2: Convert to fraction form
    313,287.75/662,296.50 = 662,296.50/x
  3. Step 3: Cross multiply
    313,287.75x = 662,296.50 × 662,296.50
  4. Step 4: Simplify right side
    313,287.75x = 438,636,653,912.25
  5. Step 5: Solve for x
    x = 438,636,653,912.25/313,287.75
  6. Step 6: Final answer
    x = 1,400,107.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.