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Finding the Third Proportional to 308,624 and 676,336

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Solution

The third proportional to 308,624 and 676,336 is: 1,482,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,624 : 676,336 = 676,336 : x
  2. Step 2: Convert to fraction form
    308,624/676,336 = 676,336/x
  3. Step 3: Cross multiply
    308,624x = 676,336 × 676,336
  4. Step 4: Simplify right side
    308,624x = 457,430,384,896
  5. Step 5: Solve for x
    x = 457,430,384,896/308,624
  6. Step 6: Final answer
    x = 1,482,160.77

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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.