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Finding the Third Proportional to 245.78 and 534.69

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Solution

The third proportional to 245.78 and 534.69 is: 1,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.78 : 534.69 = 534.69 : x
  2. Step 2: Convert to fraction form
    245.78/534.69 = 534.69/x
  3. Step 3: Cross multiply
    245.78x = 534.69 × 534.69
  4. Step 4: Simplify right side
    245.78x = 285,890.72
  5. Step 5: Solve for x
    x = 285,890.72/245.78
  6. Step 6: Final answer
    x = 1,163.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.