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Finding the Third Proportional to 3,490.50 and 7,224

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Solution

The third proportional to 3,490.50 and 7,224 is: 14,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.50 : 7,224 = 7,224 : x
  2. Step 2: Convert to fraction form
    3,490.50/7,224 = 7,224/x
  3. Step 3: Cross multiply
    3,490.50x = 7,224 × 7,224
  4. Step 4: Simplify right side
    3,490.50x = 52,186,176
  5. Step 5: Solve for x
    x = 52,186,176/3,490.50
  6. Step 6: Final answer
    x = 14,950.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.