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Finding the Third Proportional to 512.77 and 1,089.61

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Solution

The third proportional to 512.77 and 1,089.61 is: 2,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.77 : 1,089.61 = 1,089.61 : x
  2. Step 2: Convert to fraction form
    512.77/1,089.61 = 1,089.61/x
  3. Step 3: Cross multiply
    512.77x = 1,089.61 × 1,089.61
  4. Step 4: Simplify right side
    512.77x = 1,187,248.59
  5. Step 5: Solve for x
    x = 1,187,248.59/512.77
  6. Step 6: Final answer
    x = 2,315.38

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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.