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Finding the Third Proportional to 817.78 and 1,268.06

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Solution

The third proportional to 817.78 and 1,268.06 is: 1,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.78 : 1,268.06 = 1,268.06 : x
  2. Step 2: Convert to fraction form
    817.78/1,268.06 = 1,268.06/x
  3. Step 3: Cross multiply
    817.78x = 1,268.06 × 1,268.06
  4. Step 4: Simplify right side
    817.78x = 1,607,982.50
  5. Step 5: Solve for x
    x = 1,607,982.50/817.78
  6. Step 6: Final answer
    x = 1,966.27

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Why These Related Problems?

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