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Finding the Third Proportional to 453.75 and 498.75

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Solution

The third proportional to 453.75 and 498.75 is: 548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.75 : 498.75 = 498.75 : x
  2. Step 2: Convert to fraction form
    453.75/498.75 = 498.75/x
  3. Step 3: Cross multiply
    453.75x = 498.75 × 498.75
  4. Step 4: Simplify right side
    453.75x = 248,751.56
  5. Step 5: Solve for x
    x = 248,751.56/453.75
  6. Step 6: Final answer
    x = 548.21

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.