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Finding the Third Proportional to 90,990 and 199,461

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Solution

The third proportional to 90,990 and 199,461 is: 437,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,990 : 199,461 = 199,461 : x
  2. Step 2: Convert to fraction form
    90,990/199,461 = 199,461/x
  3. Step 3: Cross multiply
    90,990x = 199,461 × 199,461
  4. Step 4: Simplify right side
    90,990x = 39,784,690,521
  5. Step 5: Solve for x
    x = 39,784,690,521/90,990
  6. Step 6: Final answer
    x = 437,242.45

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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.