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Finding the Third Proportional to 628,960.50 and 837,976.50

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Solution

The third proportional to 628,960.50 and 837,976.50 is: 1,116,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,960.50 : 837,976.50 = 837,976.50 : x
  2. Step 2: Convert to fraction form
    628,960.50/837,976.50 = 837,976.50/x
  3. Step 3: Cross multiply
    628,960.50x = 837,976.50 × 837,976.50
  4. Step 4: Simplify right side
    628,960.50x = 702,204,614,552.25
  5. Step 5: Solve for x
    x = 702,204,614,552.25/628,960.50
  6. Step 6: Final answer
    x = 1,116,452.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.