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Finding the Third Proportional to 928.97 and 1,389.80

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Solution

The third proportional to 928.97 and 1,389.80 is: 2,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.97 : 1,389.80 = 1,389.80 : x
  2. Step 2: Convert to fraction form
    928.97/1,389.80 = 1,389.80/x
  3. Step 3: Cross multiply
    928.97x = 1,389.80 × 1,389.80
  4. Step 4: Simplify right side
    928.97x = 1,931,535.35
  5. Step 5: Solve for x
    x = 1,931,535.35/928.97
  6. Step 6: Final answer
    x = 2,079.23

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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.