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Finding the Third Proportional to 509.73 and 1,108.05

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Solution

The third proportional to 509.73 and 1,108.05 is: 2,408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.73 : 1,108.05 = 1,108.05 : x
  2. Step 2: Convert to fraction form
    509.73/1,108.05 = 1,108.05/x
  3. Step 3: Cross multiply
    509.73x = 1,108.05 × 1,108.05
  4. Step 4: Simplify right side
    509.73x = 1,227,785.19
  5. Step 5: Solve for x
    x = 1,227,785.19/509.73
  6. Step 6: Final answer
    x = 2,408.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.