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Finding the Third Proportional to 100,342 and 217,958

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Solution

The third proportional to 100,342 and 217,958 is: 473,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,342 : 217,958 = 217,958 : x
  2. Step 2: Convert to fraction form
    100,342/217,958 = 217,958/x
  3. Step 3: Cross multiply
    100,342x = 217,958 × 217,958
  4. Step 4: Simplify right side
    100,342x = 47,505,689,764
  5. Step 5: Solve for x
    x = 47,505,689,764/100,342
  6. Step 6: Final answer
    x = 473,437.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.