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Finding the Third Proportional to 711.75 and 1,529.91

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Solution

The third proportional to 711.75 and 1,529.91 is: 3,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.75 : 1,529.91 = 1,529.91 : x
  2. Step 2: Convert to fraction form
    711.75/1,529.91 = 1,529.91/x
  3. Step 3: Cross multiply
    711.75x = 1,529.91 × 1,529.91
  4. Step 4: Simplify right side
    711.75x = 2,340,613.13
  5. Step 5: Solve for x
    x = 2,340,613.13/711.75
  6. Step 6: Final answer
    x = 3,288.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.