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Finding the Third Proportional to 2,904.50 and 6,901.25

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Solution

The third proportional to 2,904.50 and 6,901.25 is: 16,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.50 : 6,901.25 = 6,901.25 : x
  2. Step 2: Convert to fraction form
    2,904.50/6,901.25 = 6,901.25/x
  3. Step 3: Cross multiply
    2,904.50x = 6,901.25 × 6,901.25
  4. Step 4: Simplify right side
    2,904.50x = 47,627,251.56
  5. Step 5: Solve for x
    x = 47,627,251.56/2,904.50
  6. Step 6: Final answer
    x = 16,397.75

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.