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Finding the Third Proportional to 2,690.09 and 4,154.73

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Solution

The third proportional to 2,690.09 and 4,154.73 is: 6,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.09 : 4,154.73 = 4,154.73 : x
  2. Step 2: Convert to fraction form
    2,690.09/4,154.73 = 4,154.73/x
  3. Step 3: Cross multiply
    2,690.09x = 4,154.73 × 4,154.73
  4. Step 4: Simplify right side
    2,690.09x = 17,261,785.27
  5. Step 5: Solve for x
    x = 17,261,785.27/2,690.09
  6. Step 6: Final answer
    x = 6,416.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.