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Finding the Third Proportional to 323,131 and 690,246

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Solution

The third proportional to 323,131 and 690,246 is: 1,474,447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,131 : 690,246 = 690,246 : x
  2. Step 2: Convert to fraction form
    323,131/690,246 = 690,246/x
  3. Step 3: Cross multiply
    323,131x = 690,246 × 690,246
  4. Step 4: Simplify right side
    323,131x = 476,439,540,516
  5. Step 5: Solve for x
    x = 476,439,540,516/323,131
  6. Step 6: Final answer
    x = 1,474,447.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.