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Finding the Third Proportional to 3,340 and 7,143.50

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Solution

The third proportional to 3,340 and 7,143.50 is: 15,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340 : 7,143.50 = 7,143.50 : x
  2. Step 2: Convert to fraction form
    3,340/7,143.50 = 7,143.50/x
  3. Step 3: Cross multiply
    3,340x = 7,143.50 × 7,143.50
  4. Step 4: Simplify right side
    3,340x = 51,029,592.25
  5. Step 5: Solve for x
    x = 51,029,592.25/3,340
  6. Step 6: Final answer
    x = 15,278.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.