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Finding the Third Proportional to 312,643.50 and 636,334.50

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Solution

The third proportional to 312,643.50 and 636,334.50 is: 1,295,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,643.50 : 636,334.50 = 636,334.50 : x
  2. Step 2: Convert to fraction form
    312,643.50/636,334.50 = 636,334.50/x
  3. Step 3: Cross multiply
    312,643.50x = 636,334.50 × 636,334.50
  4. Step 4: Simplify right side
    312,643.50x = 404,921,595,890.25
  5. Step 5: Solve for x
    x = 404,921,595,890.25/312,643.50
  6. Step 6: Final answer
    x = 1,295,154.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.