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Finding the Third Proportional to 90,395 and 198,022

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Solution

The third proportional to 90,395 and 198,022 is: 433,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,395 : 198,022 = 198,022 : x
  2. Step 2: Convert to fraction form
    90,395/198,022 = 198,022/x
  3. Step 3: Cross multiply
    90,395x = 198,022 × 198,022
  4. Step 4: Simplify right side
    90,395x = 39,212,712,484
  5. Step 5: Solve for x
    x = 39,212,712,484/90,395
  6. Step 6: Final answer
    x = 433,792.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.