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Finding the Third Proportional to 485.72 and 522.84

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Solution

The third proportional to 485.72 and 522.84 is: 562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.72 : 522.84 = 522.84 : x
  2. Step 2: Convert to fraction form
    485.72/522.84 = 522.84/x
  3. Step 3: Cross multiply
    485.72x = 522.84 × 522.84
  4. Step 4: Simplify right side
    485.72x = 273,365.59
  5. Step 5: Solve for x
    x = 273,365.59/485.72
  6. Step 6: Final answer
    x = 562.81

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.