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Finding the Third Proportional to 481 and 774.63

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Solution

The third proportional to 481 and 774.63 is: 1,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    481 : 774.63 = 774.63 : x
  2. Step 2: Convert to fraction form
    481/774.63 = 774.63/x
  3. Step 3: Cross multiply
    481x = 774.63 × 774.63
  4. Step 4: Simplify right side
    481x = 600,043.89
  5. Step 5: Solve for x
    x = 600,043.89/481
  6. Step 6: Final answer
    x = 1,247.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.