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Finding the Third Proportional to 216,339 and 296,802

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Solution

The third proportional to 216,339 and 296,802 is: 407,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,339 : 296,802 = 296,802 : x
  2. Step 2: Convert to fraction form
    216,339/296,802 = 296,802/x
  3. Step 3: Cross multiply
    216,339x = 296,802 × 296,802
  4. Step 4: Simplify right side
    216,339x = 88,091,427,204
  5. Step 5: Solve for x
    x = 88,091,427,204/216,339
  6. Step 6: Final answer
    x = 407,191.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.