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Finding the Third Proportional to 3,414 and 5,211.50

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Solution

The third proportional to 3,414 and 5,211.50 is: 7,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414 : 5,211.50 = 5,211.50 : x
  2. Step 2: Convert to fraction form
    3,414/5,211.50 = 5,211.50/x
  3. Step 3: Cross multiply
    3,414x = 5,211.50 × 5,211.50
  4. Step 4: Simplify right side
    3,414x = 27,159,732.25
  5. Step 5: Solve for x
    x = 27,159,732.25/3,414
  6. Step 6: Final answer
    x = 7,955.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.