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Finding the Third Proportional to 323,410 and 680,330

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Solution

The third proportional to 323,410 and 680,330 is: 1,431,152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,410 : 680,330 = 680,330 : x
  2. Step 2: Convert to fraction form
    323,410/680,330 = 680,330/x
  3. Step 3: Cross multiply
    323,410x = 680,330 × 680,330
  4. Step 4: Simplify right side
    323,410x = 462,848,908,900
  5. Step 5: Solve for x
    x = 462,848,908,900/323,410
  6. Step 6: Final answer
    x = 1,431,152.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.