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Finding the Third Proportional to 521.63 and 1,212.94

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Solution

The third proportional to 521.63 and 1,212.94 is: 2,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.63 : 1,212.94 = 1,212.94 : x
  2. Step 2: Convert to fraction form
    521.63/1,212.94 = 1,212.94/x
  3. Step 3: Cross multiply
    521.63x = 1,212.94 × 1,212.94
  4. Step 4: Simplify right side
    521.63x = 1,471,217.38
  5. Step 5: Solve for x
    x = 1,471,217.38/521.63
  6. Step 6: Final answer
    x = 2,820.45

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.