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Finding the Third Proportional to 138,285 and 301,598

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Solution

The third proportional to 138,285 and 301,598 is: 657,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,285 : 301,598 = 301,598 : x
  2. Step 2: Convert to fraction form
    138,285/301,598 = 301,598/x
  3. Step 3: Cross multiply
    138,285x = 301,598 × 301,598
  4. Step 4: Simplify right side
    138,285x = 90,961,353,604
  5. Step 5: Solve for x
    x = 90,961,353,604/138,285
  6. Step 6: Final answer
    x = 657,781.78

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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.