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Finding the Third Proportional to 328,410 and 705,934

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Solution

The third proportional to 328,410 and 705,934 is: 1,517,441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,410 : 705,934 = 705,934 : x
  2. Step 2: Convert to fraction form
    328,410/705,934 = 705,934/x
  3. Step 3: Cross multiply
    328,410x = 705,934 × 705,934
  4. Step 4: Simplify right side
    328,410x = 498,342,812,356
  5. Step 5: Solve for x
    x = 498,342,812,356/328,410
  6. Step 6: Final answer
    x = 1,517,441.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.