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Finding the Third Proportional to 489 and 588.75

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Solution

The third proportional to 489 and 588.75 is: 708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489 : 588.75 = 588.75 : x
  2. Step 2: Convert to fraction form
    489/588.75 = 588.75/x
  3. Step 3: Cross multiply
    489x = 588.75 × 588.75
  4. Step 4: Simplify right side
    489x = 346,626.56
  5. Step 5: Solve for x
    x = 346,626.56/489
  6. Step 6: Final answer
    x = 708.85

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.