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Finding the Third Proportional to 1,102.78 and 1,285.03

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Solution

The third proportional to 1,102.78 and 1,285.03 is: 1,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.78 : 1,285.03 = 1,285.03 : x
  2. Step 2: Convert to fraction form
    1,102.78/1,285.03 = 1,285.03/x
  3. Step 3: Cross multiply
    1,102.78x = 1,285.03 × 1,285.03
  4. Step 4: Simplify right side
    1,102.78x = 1,651,305.31
  5. Step 5: Solve for x
    x = 1,651,305.31/1,102.78
  6. Step 6: Final answer
    x = 1,497.40

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.