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Finding the Third Proportional to 308,643 and 676,374

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Solution

The third proportional to 308,643 and 676,374 is: 1,482,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,643 : 676,374 = 676,374 : x
  2. Step 2: Convert to fraction form
    308,643/676,374 = 676,374/x
  3. Step 3: Cross multiply
    308,643x = 676,374 × 676,374
  4. Step 4: Simplify right side
    308,643x = 457,481,787,876
  5. Step 5: Solve for x
    x = 457,481,787,876/308,643
  6. Step 6: Final answer
    x = 1,482,236.07

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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.