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Finding the Third Proportional to 1,708.59 and 2,639.78

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Solution

The third proportional to 1,708.59 and 2,639.78 is: 4,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.59 : 2,639.78 = 2,639.78 : x
  2. Step 2: Convert to fraction form
    1,708.59/2,639.78 = 2,639.78/x
  3. Step 3: Cross multiply
    1,708.59x = 2,639.78 × 2,639.78
  4. Step 4: Simplify right side
    1,708.59x = 6,968,424.42
  5. Step 5: Solve for x
    x = 6,968,424.42/1,708.59
  6. Step 6: Final answer
    x = 4,078.46

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