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Finding the Third Proportional to 9,480.80 and 10,498.36

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Solution

The third proportional to 9,480.80 and 10,498.36 is: 11,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.80 : 10,498.36 = 10,498.36 : x
  2. Step 2: Convert to fraction form
    9,480.80/10,498.36 = 10,498.36/x
  3. Step 3: Cross multiply
    9,480.80x = 10,498.36 × 10,498.36
  4. Step 4: Simplify right side
    9,480.80x = 110,215,549.57
  5. Step 5: Solve for x
    x = 110,215,549.57/9,480.80
  6. Step 6: Final answer
    x = 11,625.14

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.