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Finding the Third Proportional to 90,639 and 194,391

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Solution

The third proportional to 90,639 and 194,391 is: 416,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,639 : 194,391 = 194,391 : x
  2. Step 2: Convert to fraction form
    90,639/194,391 = 194,391/x
  3. Step 3: Cross multiply
    90,639x = 194,391 × 194,391
  4. Step 4: Simplify right side
    90,639x = 37,787,860,881
  5. Step 5: Solve for x
    x = 37,787,860,881/90,639
  6. Step 6: Final answer
    x = 416,905.09

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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.