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Finding the Third Proportional to 4,959.50 and 6,800.50

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Solution

The third proportional to 4,959.50 and 6,800.50 is: 9,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.50 : 6,800.50 = 6,800.50 : x
  2. Step 2: Convert to fraction form
    4,959.50/6,800.50 = 6,800.50/x
  3. Step 3: Cross multiply
    4,959.50x = 6,800.50 × 6,800.50
  4. Step 4: Simplify right side
    4,959.50x = 46,246,800.25
  5. Step 5: Solve for x
    x = 46,246,800.25/4,959.50
  6. Step 6: Final answer
    x = 9,324.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.