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Finding the Third Proportional to 90,454 and 198,953

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Solution

The third proportional to 90,454 and 198,953 is: 437,595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,454 : 198,953 = 198,953 : x
  2. Step 2: Convert to fraction form
    90,454/198,953 = 198,953/x
  3. Step 3: Cross multiply
    90,454x = 198,953 × 198,953
  4. Step 4: Simplify right side
    90,454x = 39,582,296,209
  5. Step 5: Solve for x
    x = 39,582,296,209/90,454
  6. Step 6: Final answer
    x = 437,595.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.