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Finding the Third Proportional to 138,006 and 301,836

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Solution

The third proportional to 138,006 and 301,836 is: 660,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,006 : 301,836 = 301,836 : x
  2. Step 2: Convert to fraction form
    138,006/301,836 = 301,836/x
  3. Step 3: Cross multiply
    138,006x = 301,836 × 301,836
  4. Step 4: Simplify right side
    138,006x = 91,104,970,896
  5. Step 5: Solve for x
    x = 91,104,970,896/138,006
  6. Step 6: Final answer
    x = 660,152.25

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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.