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Finding the Third Proportional to 90,634.49 and 197,518.78

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Solution

The third proportional to 90,634.49 and 197,518.78 is: 430,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,634.49 : 197,518.78 = 197,518.78 : x
  2. Step 2: Convert to fraction form
    90,634.49/197,518.78 = 197,518.78/x
  3. Step 3: Cross multiply
    90,634.49x = 197,518.78 × 197,518.78
  4. Step 4: Simplify right side
    90,634.49x = 39,013,667,210.48
  5. Step 5: Solve for x
    x = 39,013,667,210.48/90,634.49
  6. Step 6: Final answer
    x = 430,450.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.