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Finding the Third Proportional to 4,402.27 and 9,788.77

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Solution

The third proportional to 4,402.27 and 9,788.77 is: 21,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.27 : 9,788.77 = 9,788.77 : x
  2. Step 2: Convert to fraction form
    4,402.27/9,788.77 = 9,788.77/x
  3. Step 3: Cross multiply
    4,402.27x = 9,788.77 × 9,788.77
  4. Step 4: Simplify right side
    4,402.27x = 95,819,932.46
  5. Step 5: Solve for x
    x = 95,819,932.46/4,402.27
  6. Step 6: Final answer
    x = 21,766.05

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.