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Finding the Third Proportional to 499.61 and 755.26

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Solution

The third proportional to 499.61 and 755.26 is: 1,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.61 : 755.26 = 755.26 : x
  2. Step 2: Convert to fraction form
    499.61/755.26 = 755.26/x
  3. Step 3: Cross multiply
    499.61x = 755.26 × 755.26
  4. Step 4: Simplify right side
    499.61x = 570,420.26
  5. Step 5: Solve for x
    x = 570,420.26/499.61
  6. Step 6: Final answer
    x = 1,141.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.