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Finding the Third Proportional to 90,639 and 196,344

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Solution

The third proportional to 90,639 and 196,344 is: 425,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,639 : 196,344 = 196,344 : x
  2. Step 2: Convert to fraction form
    90,639/196,344 = 196,344/x
  3. Step 3: Cross multiply
    90,639x = 196,344 × 196,344
  4. Step 4: Simplify right side
    90,639x = 38,550,966,336
  5. Step 5: Solve for x
    x = 38,550,966,336/90,639
  6. Step 6: Final answer
    x = 425,324.27

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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.