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Finding the Third Proportional to 215,298 and 316,716.75

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Solution

The third proportional to 215,298 and 316,716.75 is: 465,910.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,298 : 316,716.75 = 316,716.75 : x
  2. Step 2: Convert to fraction form
    215,298/316,716.75 = 316,716.75/x
  3. Step 3: Cross multiply
    215,298x = 316,716.75 × 316,716.75
  4. Step 4: Simplify right side
    215,298x = 100,309,499,730.56
  5. Step 5: Solve for x
    x = 100,309,499,730.56/215,298
  6. Step 6: Final answer
    x = 465,910.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.