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Finding the Third Proportional to 442.25 and 577.75

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Solution

The third proportional to 442.25 and 577.75 is: 754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.25 : 577.75 = 577.75 : x
  2. Step 2: Convert to fraction form
    442.25/577.75 = 577.75/x
  3. Step 3: Cross multiply
    442.25x = 577.75 × 577.75
  4. Step 4: Simplify right side
    442.25x = 333,795.06
  5. Step 5: Solve for x
    x = 333,795.06/442.25
  6. Step 6: Final answer
    x = 754.77

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.