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Finding the Third Proportional to 499.75 and 759.88

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Solution

The third proportional to 499.75 and 759.88 is: 1,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.75 : 759.88 = 759.88 : x
  2. Step 2: Convert to fraction form
    499.75/759.88 = 759.88/x
  3. Step 3: Cross multiply
    499.75x = 759.88 × 759.88
  4. Step 4: Simplify right side
    499.75x = 577,410.02
  5. Step 5: Solve for x
    x = 577,410.02/499.75
  6. Step 6: Final answer
    x = 1,155.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.