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Finding the Third Proportional to 857.11 and 1,161.42

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Solution

The third proportional to 857.11 and 1,161.42 is: 1,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.11 : 1,161.42 = 1,161.42 : x
  2. Step 2: Convert to fraction form
    857.11/1,161.42 = 1,161.42/x
  3. Step 3: Cross multiply
    857.11x = 1,161.42 × 1,161.42
  4. Step 4: Simplify right side
    857.11x = 1,348,900.77
  5. Step 5: Solve for x
    x = 1,348,900.77/857.11
  6. Step 6: Final answer
    x = 1,573.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.