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Finding the Third Proportional to 308,700 and 676,431

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Solution

The third proportional to 308,700 and 676,431 is: 1,482,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,700 : 676,431 = 676,431 : x
  2. Step 2: Convert to fraction form
    308,700/676,431 = 676,431/x
  3. Step 3: Cross multiply
    308,700x = 676,431 × 676,431
  4. Step 4: Simplify right side
    308,700x = 457,558,897,761
  5. Step 5: Solve for x
    x = 457,558,897,761/308,700
  6. Step 6: Final answer
    x = 1,482,212.17

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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.