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Finding the Third Proportional to 308,502 and 676,044

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Solution

The third proportional to 308,502 and 676,044 is: 1,481,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,502 : 676,044 = 676,044 : x
  2. Step 2: Convert to fraction form
    308,502/676,044 = 676,044/x
  3. Step 3: Cross multiply
    308,502x = 676,044 × 676,044
  4. Step 4: Simplify right side
    308,502x = 457,035,489,936
  5. Step 5: Solve for x
    x = 457,035,489,936/308,502
  6. Step 6: Final answer
    x = 1,481,466.86

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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.