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Finding the Third Proportional to 512.58 and 1,089.70

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Solution

The third proportional to 512.58 and 1,089.70 is: 2,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 1,089.70 = 1,089.70 : x
  2. Step 2: Convert to fraction form
    512.58/1,089.70 = 1,089.70/x
  3. Step 3: Cross multiply
    512.58x = 1,089.70 × 1,089.70
  4. Step 4: Simplify right side
    512.58x = 1,187,452.90
  5. Step 5: Solve for x
    x = 1,187,452.90/512.58
  6. Step 6: Final answer
    x = 2,316.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.