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Finding the Third Proportional to 90,414 and 133,778

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Solution

The third proportional to 90,414 and 133,778 is: 197,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,414 : 133,778 = 133,778 : x
  2. Step 2: Convert to fraction form
    90,414/133,778 = 133,778/x
  3. Step 3: Cross multiply
    90,414x = 133,778 × 133,778
  4. Step 4: Simplify right side
    90,414x = 17,896,553,284
  5. Step 5: Solve for x
    x = 17,896,553,284/90,414
  6. Step 6: Final answer
    x = 197,940.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.