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Finding the Third Proportional to 492.75 and 578.81

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Solution

The third proportional to 492.75 and 578.81 is: 679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.75 : 578.81 = 578.81 : x
  2. Step 2: Convert to fraction form
    492.75/578.81 = 578.81/x
  3. Step 3: Cross multiply
    492.75x = 578.81 × 578.81
  4. Step 4: Simplify right side
    492.75x = 335,023.91
  5. Step 5: Solve for x
    x = 335,023.91/492.75
  6. Step 6: Final answer
    x = 679.91

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.