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Finding the Third Proportional to 90,639 and 194,403

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Solution

The third proportional to 90,639 and 194,403 is: 416,956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,639 : 194,403 = 194,403 : x
  2. Step 2: Convert to fraction form
    90,639/194,403 = 194,403/x
  3. Step 3: Cross multiply
    90,639x = 194,403 × 194,403
  4. Step 4: Simplify right side
    90,639x = 37,792,526,409
  5. Step 5: Solve for x
    x = 37,792,526,409/90,639
  6. Step 6: Final answer
    x = 416,956.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.