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Finding the Third Proportional to 3,210.75 and 7,369.88

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Solution

The third proportional to 3,210.75 and 7,369.88 is: 16,916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.75 : 7,369.88 = 7,369.88 : x
  2. Step 2: Convert to fraction form
    3,210.75/7,369.88 = 7,369.88/x
  3. Step 3: Cross multiply
    3,210.75x = 7,369.88 × 7,369.88
  4. Step 4: Simplify right side
    3,210.75x = 54,315,057.52
  5. Step 5: Solve for x
    x = 54,315,057.52/3,210.75
  6. Step 6: Final answer
    x = 16,916.63

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.