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Finding the Third Proportional to 90,029 and 194,497

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Solution

The third proportional to 90,029 and 194,497 is: 420,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,029 : 194,497 = 194,497 : x
  2. Step 2: Convert to fraction form
    90,029/194,497 = 194,497/x
  3. Step 3: Cross multiply
    90,029x = 194,497 × 194,497
  4. Step 4: Simplify right side
    90,029x = 37,829,083,009
  5. Step 5: Solve for x
    x = 37,829,083,009/90,029
  6. Step 6: Final answer
    x = 420,187.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.