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Finding the Third Proportional to 489.75 and 701.25

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Solution

The third proportional to 489.75 and 701.25 is: 1,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.75 : 701.25 = 701.25 : x
  2. Step 2: Convert to fraction form
    489.75/701.25 = 701.25/x
  3. Step 3: Cross multiply
    489.75x = 701.25 × 701.25
  4. Step 4: Simplify right side
    489.75x = 491,751.56
  5. Step 5: Solve for x
    x = 491,751.56/489.75
  6. Step 6: Final answer
    x = 1,004.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.