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Finding the Third Proportional to 323,166 and 690,324

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Solution

The third proportional to 323,166 and 690,324 is: 1,474,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,166 : 690,324 = 690,324 : x
  2. Step 2: Convert to fraction form
    323,166/690,324 = 690,324/x
  3. Step 3: Cross multiply
    323,166x = 690,324 × 690,324
  4. Step 4: Simplify right side
    323,166x = 476,547,224,976
  5. Step 5: Solve for x
    x = 476,547,224,976/323,166
  6. Step 6: Final answer
    x = 1,474,620.55

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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.