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Finding the Third Proportional to 552.63 and 774.69

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Solution

The third proportional to 552.63 and 774.69 is: 1,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.63 : 774.69 = 774.69 : x
  2. Step 2: Convert to fraction form
    552.63/774.69 = 774.69/x
  3. Step 3: Cross multiply
    552.63x = 774.69 × 774.69
  4. Step 4: Simplify right side
    552.63x = 600,140.72
  5. Step 5: Solve for x
    x = 600,140.72/552.63
  6. Step 6: Final answer
    x = 1,085.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.