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Finding the Third Proportional to 3,354.75 and 9,055.13

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Solution

The third proportional to 3,354.75 and 9,055.13 is: 24,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.75 : 9,055.13 = 9,055.13 : x
  2. Step 2: Convert to fraction form
    3,354.75/9,055.13 = 9,055.13/x
  3. Step 3: Cross multiply
    3,354.75x = 9,055.13 × 9,055.13
  4. Step 4: Simplify right side
    3,354.75x = 81,995,288.77
  5. Step 5: Solve for x
    x = 81,995,288.77/3,354.75
  6. Step 6: Final answer
    x = 24,441.55

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.