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Finding the Third Proportional to 4,775.52 and 10,493.61

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Solution

The third proportional to 4,775.52 and 10,493.61 is: 23,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.52 : 10,493.61 = 10,493.61 : x
  2. Step 2: Convert to fraction form
    4,775.52/10,493.61 = 10,493.61/x
  3. Step 3: Cross multiply
    4,775.52x = 10,493.61 × 10,493.61
  4. Step 4: Simplify right side
    4,775.52x = 110,115,919.70
  5. Step 5: Solve for x
    x = 110,115,919.70/4,775.52
  6. Step 6: Final answer
    x = 23,058.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.