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Finding the Third Proportional to 1,929.66 and 2,142.28

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Solution

The third proportional to 1,929.66 and 2,142.28 is: 2,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.66 : 2,142.28 = 2,142.28 : x
  2. Step 2: Convert to fraction form
    1,929.66/2,142.28 = 2,142.28/x
  3. Step 3: Cross multiply
    1,929.66x = 2,142.28 × 2,142.28
  4. Step 4: Simplify right side
    1,929.66x = 4,589,368.95
  5. Step 5: Solve for x
    x = 4,589,368.95/1,929.66
  6. Step 6: Final answer
    x = 2,378.33

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.