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Finding the Third Proportional to 90,498.38 and 198,840.38

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Solution

The third proportional to 90,498.38 and 198,840.38 is: 436,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,498.38 : 198,840.38 = 198,840.38 : x
  2. Step 2: Convert to fraction form
    90,498.38/198,840.38 = 198,840.38/x
  3. Step 3: Cross multiply
    90,498.38x = 198,840.38 × 198,840.38
  4. Step 4: Simplify right side
    90,498.38x = 39,537,494,730.14
  5. Step 5: Solve for x
    x = 39,537,494,730.14/90,498.38
  6. Step 6: Final answer
    x = 436,886.24

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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.