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Finding the Third Proportional to 2,415.76 and 5,138.02

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Solution

The third proportional to 2,415.76 and 5,138.02 is: 10,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.76 : 5,138.02 = 5,138.02 : x
  2. Step 2: Convert to fraction form
    2,415.76/5,138.02 = 5,138.02/x
  3. Step 3: Cross multiply
    2,415.76x = 5,138.02 × 5,138.02
  4. Step 4: Simplify right side
    2,415.76x = 26,399,204.56
  5. Step 5: Solve for x
    x = 26,399,204.56/2,415.76
  6. Step 6: Final answer
    x = 10,927.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.