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Finding the Third Proportional to 2,206.50 and 3,332.25

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Solution

The third proportional to 2,206.50 and 3,332.25 is: 5,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.50 : 3,332.25 = 3,332.25 : x
  2. Step 2: Convert to fraction form
    2,206.50/3,332.25 = 3,332.25/x
  3. Step 3: Cross multiply
    2,206.50x = 3,332.25 × 3,332.25
  4. Step 4: Simplify right side
    2,206.50x = 11,103,890.06
  5. Step 5: Solve for x
    x = 11,103,890.06/2,206.50
  6. Step 6: Final answer
    x = 5,032.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.