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Finding the Third Proportional to 308,420 and 679,048

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Solution

The third proportional to 308,420 and 679,048 is: 1,495,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,420 : 679,048 = 679,048 : x
  2. Step 2: Convert to fraction form
    308,420/679,048 = 679,048/x
  3. Step 3: Cross multiply
    308,420x = 679,048 × 679,048
  4. Step 4: Simplify right side
    308,420x = 461,106,186,304
  5. Step 5: Solve for x
    x = 461,106,186,304/308,420
  6. Step 6: Final answer
    x = 1,495,059.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.