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Finding the Third Proportional to 746.09 and 1,121.98

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Solution

The third proportional to 746.09 and 1,121.98 is: 1,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.09 : 1,121.98 = 1,121.98 : x
  2. Step 2: Convert to fraction form
    746.09/1,121.98 = 1,121.98/x
  3. Step 3: Cross multiply
    746.09x = 1,121.98 × 1,121.98
  4. Step 4: Simplify right side
    746.09x = 1,258,831.41
  5. Step 5: Solve for x
    x = 1,258,831.41/746.09
  6. Step 6: Final answer
    x = 1,687.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.