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Finding the Third Proportional to 3,148.88 and 4,620.80

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Solution

The third proportional to 3,148.88 and 4,620.80 is: 6,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.88 : 4,620.80 = 4,620.80 : x
  2. Step 2: Convert to fraction form
    3,148.88/4,620.80 = 4,620.80/x
  3. Step 3: Cross multiply
    3,148.88x = 4,620.80 × 4,620.80
  4. Step 4: Simplify right side
    3,148.88x = 21,351,763.76
  5. Step 5: Solve for x
    x = 21,351,763.76/3,148.88
  6. Step 6: Final answer
    x = 6,780.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.