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Finding the Third Proportional to 327,688 and 690,352

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Solution

The third proportional to 327,688 and 690,352 is: 1,454,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,688 : 690,352 = 690,352 : x
  2. Step 2: Convert to fraction form
    327,688/690,352 = 690,352/x
  3. Step 3: Cross multiply
    327,688x = 690,352 × 690,352
  4. Step 4: Simplify right side
    327,688x = 476,585,883,904
  5. Step 5: Solve for x
    x = 476,585,883,904/327,688
  6. Step 6: Final answer
    x = 1,454,389.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.