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Finding the Third Proportional to 307,098 and 664,498

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Solution

The third proportional to 307,098 and 664,498 is: 1,437,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,098 : 664,498 = 664,498 : x
  2. Step 2: Convert to fraction form
    307,098/664,498 = 664,498/x
  3. Step 3: Cross multiply
    307,098x = 664,498 × 664,498
  4. Step 4: Simplify right side
    307,098x = 441,557,592,004
  5. Step 5: Solve for x
    x = 441,557,592,004/307,098
  6. Step 6: Final answer
    x = 1,437,839.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.