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Finding the Third Proportional to 100,236 and 217,959

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Solution

The third proportional to 100,236 and 217,959 is: 473,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,236 : 217,959 = 217,959 : x
  2. Step 2: Convert to fraction form
    100,236/217,959 = 217,959/x
  3. Step 3: Cross multiply
    100,236x = 217,959 × 217,959
  4. Step 4: Simplify right side
    100,236x = 47,506,125,681
  5. Step 5: Solve for x
    x = 47,506,125,681/100,236
  6. Step 6: Final answer
    x = 473,942.75

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Why These Related Problems?

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