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Finding the Third Proportional to 138,483 and 226,108.50

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Solution

The third proportional to 138,483 and 226,108.50 is: 369,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,483 : 226,108.50 = 226,108.50 : x
  2. Step 2: Convert to fraction form
    138,483/226,108.50 = 226,108.50/x
  3. Step 3: Cross multiply
    138,483x = 226,108.50 × 226,108.50
  4. Step 4: Simplify right side
    138,483x = 51,125,053,772.25
  5. Step 5: Solve for x
    x = 51,125,053,772.25/138,483
  6. Step 6: Final answer
    x = 369,179.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.