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Finding the Third Proportional to 300,672 and 641,376

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Solution

The third proportional to 300,672 and 641,376 is: 1,368,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,672 : 641,376 = 641,376 : x
  2. Step 2: Convert to fraction form
    300,672/641,376 = 641,376/x
  3. Step 3: Cross multiply
    300,672x = 641,376 × 641,376
  4. Step 4: Simplify right side
    300,672x = 411,363,173,376
  5. Step 5: Solve for x
    x = 411,363,173,376/300,672
  6. Step 6: Final answer
    x = 1,368,145.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.