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Finding the Third Proportional to 576.50 and 1,262.50

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Solution

The third proportional to 576.50 and 1,262.50 is: 2,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.50 : 1,262.50 = 1,262.50 : x
  2. Step 2: Convert to fraction form
    576.50/1,262.50 = 1,262.50/x
  3. Step 3: Cross multiply
    576.50x = 1,262.50 × 1,262.50
  4. Step 4: Simplify right side
    576.50x = 1,593,906.25
  5. Step 5: Solve for x
    x = 1,593,906.25/576.50
  6. Step 6: Final answer
    x = 2,764.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.