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Finding the Third Proportional to 2,158.31 and 4,914.84

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Solution

The third proportional to 2,158.31 and 4,914.84 is: 11,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.31 : 4,914.84 = 4,914.84 : x
  2. Step 2: Convert to fraction form
    2,158.31/4,914.84 = 4,914.84/x
  3. Step 3: Cross multiply
    2,158.31x = 4,914.84 × 4,914.84
  4. Step 4: Simplify right side
    2,158.31x = 24,155,689.09
  5. Step 5: Solve for x
    x = 24,155,689.09/2,158.31
  6. Step 6: Final answer
    x = 11,191.93

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.