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Finding the Third Proportional to 711.94 and 1,509.38

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Solution

The third proportional to 711.94 and 1,509.38 is: 3,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.94 : 1,509.38 = 1,509.38 : x
  2. Step 2: Convert to fraction form
    711.94/1,509.38 = 1,509.38/x
  3. Step 3: Cross multiply
    711.94x = 1,509.38 × 1,509.38
  4. Step 4: Simplify right side
    711.94x = 2,278,212.89
  5. Step 5: Solve for x
    x = 2,278,212.89/711.94
  6. Step 6: Final answer
    x = 3,200.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.