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Finding the Third Proportional to 4,780.69 and 7,272.28

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Solution

The third proportional to 4,780.69 and 7,272.28 is: 11,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.69 : 7,272.28 = 7,272.28 : x
  2. Step 2: Convert to fraction form
    4,780.69/7,272.28 = 7,272.28/x
  3. Step 3: Cross multiply
    4,780.69x = 7,272.28 × 7,272.28
  4. Step 4: Simplify right side
    4,780.69x = 52,886,074.58
  5. Step 5: Solve for x
    x = 52,886,074.58/4,780.69
  6. Step 6: Final answer
    x = 11,062.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.