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Finding the Third Proportional to 3,343.50 and 7,180.88

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Solution

The third proportional to 3,343.50 and 7,180.88 is: 15,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.50 : 7,180.88 = 7,180.88 : x
  2. Step 2: Convert to fraction form
    3,343.50/7,180.88 = 7,180.88/x
  3. Step 3: Cross multiply
    3,343.50x = 7,180.88 × 7,180.88
  4. Step 4: Simplify right side
    3,343.50x = 51,564,965.77
  5. Step 5: Solve for x
    x = 51,564,965.77/3,343.50
  6. Step 6: Final answer
    x = 15,422.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.