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Finding the Third Proportional to 2,308.50 and 3,480.47

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Solution

The third proportional to 2,308.50 and 3,480.47 is: 5,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.50 : 3,480.47 = 3,480.47 : x
  2. Step 2: Convert to fraction form
    2,308.50/3,480.47 = 3,480.47/x
  3. Step 3: Cross multiply
    2,308.50x = 3,480.47 × 3,480.47
  4. Step 4: Simplify right side
    2,308.50x = 12,113,662.72
  5. Step 5: Solve for x
    x = 12,113,662.72/2,308.50
  6. Step 6: Final answer
    x = 5,247.42

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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.