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Finding the Third Proportional to 492.75 and 772.88

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Solution

The third proportional to 492.75 and 772.88 is: 1,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.75 : 772.88 = 772.88 : x
  2. Step 2: Convert to fraction form
    492.75/772.88 = 772.88/x
  3. Step 3: Cross multiply
    492.75x = 772.88 × 772.88
  4. Step 4: Simplify right side
    492.75x = 597,335.77
  5. Step 5: Solve for x
    x = 597,335.77/492.75
  6. Step 6: Final answer
    x = 1,212.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.