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Finding the Third Proportional to 90,418.78 and 147,930.05

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Solution

The third proportional to 90,418.78 and 147,930.05 is: 242,021.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,418.78 : 147,930.05 = 147,930.05 : x
  2. Step 2: Convert to fraction form
    90,418.78/147,930.05 = 147,930.05/x
  3. Step 3: Cross multiply
    90,418.78x = 147,930.05 × 147,930.05
  4. Step 4: Simplify right side
    90,418.78x = 21,883,298,768.44
  5. Step 5: Solve for x
    x = 21,883,298,768.44/90,418.78
  6. Step 6: Final answer
    x = 242,021.61

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.