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Finding the Third Proportional to 138,299 and 301,732

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Solution

The third proportional to 138,299 and 301,732 is: 658,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,299 : 301,732 = 301,732 : x
  2. Step 2: Convert to fraction form
    138,299/301,732 = 301,732/x
  3. Step 3: Cross multiply
    138,299x = 301,732 × 301,732
  4. Step 4: Simplify right side
    138,299x = 91,042,199,824
  5. Step 5: Solve for x
    x = 91,042,199,824/138,299
  6. Step 6: Final answer
    x = 658,299.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.