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Finding the Third Proportional to 3,316.57 and 4,689.14

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Solution

The third proportional to 3,316.57 and 4,689.14 is: 6,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.57 : 4,689.14 = 4,689.14 : x
  2. Step 2: Convert to fraction form
    3,316.57/4,689.14 = 4,689.14/x
  3. Step 3: Cross multiply
    3,316.57x = 4,689.14 × 4,689.14
  4. Step 4: Simplify right side
    3,316.57x = 21,988,039.80
  5. Step 5: Solve for x
    x = 21,988,039.80/3,316.57
  6. Step 6: Final answer
    x = 6,629.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.