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Finding the Third Proportional to 418.50 and 970.75

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Solution

The third proportional to 418.50 and 970.75 is: 2,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.50 : 970.75 = 970.75 : x
  2. Step 2: Convert to fraction form
    418.50/970.75 = 970.75/x
  3. Step 3: Cross multiply
    418.50x = 970.75 × 970.75
  4. Step 4: Simplify right side
    418.50x = 942,355.56
  5. Step 5: Solve for x
    x = 942,355.56/418.50
  6. Step 6: Final answer
    x = 2,251.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.