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Finding the Third Proportional to 3,057.43 and 4,496.45

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Solution

The third proportional to 3,057.43 and 4,496.45 is: 6,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.43 : 4,496.45 = 4,496.45 : x
  2. Step 2: Convert to fraction form
    3,057.43/4,496.45 = 4,496.45/x
  3. Step 3: Cross multiply
    3,057.43x = 4,496.45 × 4,496.45
  4. Step 4: Simplify right side
    3,057.43x = 20,218,055.58
  5. Step 5: Solve for x
    x = 20,218,055.58/3,057.43
  6. Step 6: Final answer
    x = 6,612.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.