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Finding the Third Proportional to 2,209.78 and 2,585.67

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Solution

The third proportional to 2,209.78 and 2,585.67 is: 3,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.78 : 2,585.67 = 2,585.67 : x
  2. Step 2: Convert to fraction form
    2,209.78/2,585.67 = 2,585.67/x
  3. Step 3: Cross multiply
    2,209.78x = 2,585.67 × 2,585.67
  4. Step 4: Simplify right side
    2,209.78x = 6,685,699.05
  5. Step 5: Solve for x
    x = 6,685,699.05/2,209.78
  6. Step 6: Final answer
    x = 3,025.50

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.