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Finding the Third Proportional to 308,498 and 676,084

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Solution

The third proportional to 308,498 and 676,084 is: 1,481,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,498 : 676,084 = 676,084 : x
  2. Step 2: Convert to fraction form
    308,498/676,084 = 676,084/x
  3. Step 3: Cross multiply
    308,498x = 676,084 × 676,084
  4. Step 4: Simplify right side
    308,498x = 457,089,575,056
  5. Step 5: Solve for x
    x = 457,089,575,056/308,498
  6. Step 6: Final answer
    x = 1,481,661.39

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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.