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Finding the Third Proportional to 2,215.88 and 4,719.75

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Solution

The third proportional to 2,215.88 and 4,719.75 is: 10,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.88 : 4,719.75 = 4,719.75 : x
  2. Step 2: Convert to fraction form
    2,215.88/4,719.75 = 4,719.75/x
  3. Step 3: Cross multiply
    2,215.88x = 4,719.75 × 4,719.75
  4. Step 4: Simplify right side
    2,215.88x = 22,276,040.06
  5. Step 5: Solve for x
    x = 22,276,040.06/2,215.88
  6. Step 6: Final answer
    x = 10,052.93

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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.