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Finding the Third Proportional to 677.11 and 1,003.64

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Solution

The third proportional to 677.11 and 1,003.64 is: 1,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.11 : 1,003.64 = 1,003.64 : x
  2. Step 2: Convert to fraction form
    677.11/1,003.64 = 1,003.64/x
  3. Step 3: Cross multiply
    677.11x = 1,003.64 × 1,003.64
  4. Step 4: Simplify right side
    677.11x = 1,007,294.50
  5. Step 5: Solve for x
    x = 1,007,294.50/677.11
  6. Step 6: Final answer
    x = 1,487.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.