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Finding the Third Proportional to 90,346 and 132,278

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Solution

The third proportional to 90,346 and 132,278 is: 193,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,346 : 132,278 = 132,278 : x
  2. Step 2: Convert to fraction form
    90,346/132,278 = 132,278/x
  3. Step 3: Cross multiply
    90,346x = 132,278 × 132,278
  4. Step 4: Simplify right side
    90,346x = 17,497,469,284
  5. Step 5: Solve for x
    x = 17,497,469,284/90,346
  6. Step 6: Final answer
    x = 193,671.77

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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.