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Finding the Third Proportional to 453.75 and 610.38

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Solution

The third proportional to 453.75 and 610.38 is: 821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.75 : 610.38 = 610.38 : x
  2. Step 2: Convert to fraction form
    453.75/610.38 = 610.38/x
  3. Step 3: Cross multiply
    453.75x = 610.38 × 610.38
  4. Step 4: Simplify right side
    453.75x = 372,557.64
  5. Step 5: Solve for x
    x = 372,557.64/453.75
  6. Step 6: Final answer
    x = 821.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.