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Finding the Third Proportional to 6,152.25 and 9,544.78

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Solution

The third proportional to 6,152.25 and 9,544.78 is: 14,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.25 : 9,544.78 = 9,544.78 : x
  2. Step 2: Convert to fraction form
    6,152.25/9,544.78 = 9,544.78/x
  3. Step 3: Cross multiply
    6,152.25x = 9,544.78 × 9,544.78
  4. Step 4: Simplify right side
    6,152.25x = 91,102,849.11
  5. Step 5: Solve for x
    x = 91,102,849.11/6,152.25
  6. Step 6: Final answer
    x = 14,808.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.