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Finding the Third Proportional to 3,105.84 and 4,909.36

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Solution

The third proportional to 3,105.84 and 4,909.36 is: 7,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.84 : 4,909.36 = 4,909.36 : x
  2. Step 2: Convert to fraction form
    3,105.84/4,909.36 = 4,909.36/x
  3. Step 3: Cross multiply
    3,105.84x = 4,909.36 × 4,909.36
  4. Step 4: Simplify right side
    3,105.84x = 24,101,809.47
  5. Step 5: Solve for x
    x = 24,101,809.47/3,105.84
  6. Step 6: Final answer
    x = 7,760.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.