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Finding the Third Proportional to 1,928.81 and 2,823.19

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Solution

The third proportional to 1,928.81 and 2,823.19 is: 4,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.81 : 2,823.19 = 2,823.19 : x
  2. Step 2: Convert to fraction form
    1,928.81/2,823.19 = 2,823.19/x
  3. Step 3: Cross multiply
    1,928.81x = 2,823.19 × 2,823.19
  4. Step 4: Simplify right side
    1,928.81x = 7,970,387.66
  5. Step 5: Solve for x
    x = 7,970,387.66/1,928.81
  6. Step 6: Final answer
    x = 4,132.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.