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Finding the Third Proportional to 2,148.19 and 3,478.78

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Solution

The third proportional to 2,148.19 and 3,478.78 is: 5,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.19 : 3,478.78 = 3,478.78 : x
  2. Step 2: Convert to fraction form
    2,148.19/3,478.78 = 3,478.78/x
  3. Step 3: Cross multiply
    2,148.19x = 3,478.78 × 3,478.78
  4. Step 4: Simplify right side
    2,148.19x = 12,101,918.99
  5. Step 5: Solve for x
    x = 12,101,918.99/2,148.19
  6. Step 6: Final answer
    x = 5,633.55

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.