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Finding the Third Proportional to 521.86 and 1,134.84

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Solution

The third proportional to 521.86 and 1,134.84 is: 2,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.86 : 1,134.84 = 1,134.84 : x
  2. Step 2: Convert to fraction form
    521.86/1,134.84 = 1,134.84/x
  3. Step 3: Cross multiply
    521.86x = 1,134.84 × 1,134.84
  4. Step 4: Simplify right side
    521.86x = 1,287,870.34
  5. Step 5: Solve for x
    x = 1,287,870.34/521.86
  6. Step 6: Final answer
    x = 2,467.85

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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.