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Finding the Third Proportional to 308,644 and 676,376

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Solution

The third proportional to 308,644 and 676,376 is: 1,482,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,644 : 676,376 = 676,376 : x
  2. Step 2: Convert to fraction form
    308,644/676,376 = 676,376/x
  3. Step 3: Cross multiply
    308,644x = 676,376 × 676,376
  4. Step 4: Simplify right side
    308,644x = 457,484,493,376
  5. Step 5: Solve for x
    x = 457,484,493,376/308,644
  6. Step 6: Final answer
    x = 1,482,240.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.