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Finding the Third Proportional to 90,974 and 197,488

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Solution

The third proportional to 90,974 and 197,488 is: 428,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,974 : 197,488 = 197,488 : x
  2. Step 2: Convert to fraction form
    90,974/197,488 = 197,488/x
  3. Step 3: Cross multiply
    90,974x = 197,488 × 197,488
  4. Step 4: Simplify right side
    90,974x = 39,001,510,144
  5. Step 5: Solve for x
    x = 39,001,510,144/90,974
  6. Step 6: Final answer
    x = 428,710.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.