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Finding the Third Proportional to 711.56 and 1,119.09

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Solution

The third proportional to 711.56 and 1,119.09 is: 1,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.56 : 1,119.09 = 1,119.09 : x
  2. Step 2: Convert to fraction form
    711.56/1,119.09 = 1,119.09/x
  3. Step 3: Cross multiply
    711.56x = 1,119.09 × 1,119.09
  4. Step 4: Simplify right side
    711.56x = 1,252,370.82
  5. Step 5: Solve for x
    x = 1,252,370.82/711.56
  6. Step 6: Final answer
    x = 1,760.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.