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Finding the Third Proportional to 634.50 and 984.23

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Solution

The third proportional to 634.50 and 984.23 is: 1,526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.50 : 984.23 = 984.23 : x
  2. Step 2: Convert to fraction form
    634.50/984.23 = 984.23/x
  3. Step 3: Cross multiply
    634.50x = 984.23 × 984.23
  4. Step 4: Simplify right side
    634.50x = 968,717.30
  5. Step 5: Solve for x
    x = 968,717.30/634.50
  6. Step 6: Final answer
    x = 1,526.74

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Why These Related Problems?

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