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Finding the Third Proportional to 9,428.06 and 10,977.19

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Solution

The third proportional to 9,428.06 and 10,977.19 is: 12,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.06 : 10,977.19 = 10,977.19 : x
  2. Step 2: Convert to fraction form
    9,428.06/10,977.19 = 10,977.19/x
  3. Step 3: Cross multiply
    9,428.06x = 10,977.19 × 10,977.19
  4. Step 4: Simplify right side
    9,428.06x = 120,498,645.41
  5. Step 5: Solve for x
    x = 120,498,645.41/9,428.06
  6. Step 6: Final answer
    x = 12,780.85

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.