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Finding the Third Proportional to 2,142.94 and 3,237.28

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Solution

The third proportional to 2,142.94 and 3,237.28 is: 4,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.94 : 3,237.28 = 3,237.28 : x
  2. Step 2: Convert to fraction form
    2,142.94/3,237.28 = 3,237.28/x
  3. Step 3: Cross multiply
    2,142.94x = 3,237.28 × 3,237.28
  4. Step 4: Simplify right side
    2,142.94x = 10,479,989.89
  5. Step 5: Solve for x
    x = 10,479,989.89/2,142.94
  6. Step 6: Final answer
    x = 4,890.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.