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Finding the Third Proportional to 81,236 and 118,398

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Solution

The third proportional to 81,236 and 118,398 is: 172,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,236 : 118,398 = 118,398 : x
  2. Step 2: Convert to fraction form
    81,236/118,398 = 118,398/x
  3. Step 3: Cross multiply
    81,236x = 118,398 × 118,398
  4. Step 4: Simplify right side
    81,236x = 14,018,086,404
  5. Step 5: Solve for x
    x = 14,018,086,404/81,236
  6. Step 6: Final answer
    x = 172,560.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.