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Finding the Third Proportional to 492.75 and 765.75

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Solution

The third proportional to 492.75 and 765.75 is: 1,190.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.75 : 765.75 = 765.75 : x
  2. Step 2: Convert to fraction form
    492.75/765.75 = 765.75/x
  3. Step 3: Cross multiply
    492.75x = 765.75 × 765.75
  4. Step 4: Simplify right side
    492.75x = 586,373.06
  5. Step 5: Solve for x
    x = 586,373.06/492.75
  6. Step 6: Final answer
    x = 1,190.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.