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Finding the Third Proportional to 524.39 and 1,115.86

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Solution

The third proportional to 524.39 and 1,115.86 is: 2,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.39 : 1,115.86 = 1,115.86 : x
  2. Step 2: Convert to fraction form
    524.39/1,115.86 = 1,115.86/x
  3. Step 3: Cross multiply
    524.39x = 1,115.86 × 1,115.86
  4. Step 4: Simplify right side
    524.39x = 1,245,142.14
  5. Step 5: Solve for x
    x = 1,245,142.14/524.39
  6. Step 6: Final answer
    x = 2,374.46

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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.