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Finding the Third Proportional to 138,297 and 301,727

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Solution

The third proportional to 138,297 and 301,727 is: 658,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,297 : 301,727 = 301,727 : x
  2. Step 2: Convert to fraction form
    138,297/301,727 = 301,727/x
  3. Step 3: Cross multiply
    138,297x = 301,727 × 301,727
  4. Step 4: Simplify right side
    138,297x = 91,039,182,529
  5. Step 5: Solve for x
    x = 91,039,182,529/138,297
  6. Step 6: Final answer
    x = 658,287.47

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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.