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Finding the Third Proportional to 2,302.50 and 5,315.25

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Solution

The third proportional to 2,302.50 and 5,315.25 is: 12,270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.50 : 5,315.25 = 5,315.25 : x
  2. Step 2: Convert to fraction form
    2,302.50/5,315.25 = 5,315.25/x
  3. Step 3: Cross multiply
    2,302.50x = 5,315.25 × 5,315.25
  4. Step 4: Simplify right side
    2,302.50x = 28,251,882.56
  5. Step 5: Solve for x
    x = 28,251,882.56/2,302.50
  6. Step 6: Final answer
    x = 12,270.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.