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Finding the Third Proportional to 90,424 and 136,296

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Solution

The third proportional to 90,424 and 136,296 is: 205,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,424 : 136,296 = 136,296 : x
  2. Step 2: Convert to fraction form
    90,424/136,296 = 136,296/x
  3. Step 3: Cross multiply
    90,424x = 136,296 × 136,296
  4. Step 4: Simplify right side
    90,424x = 18,576,599,616
  5. Step 5: Solve for x
    x = 18,576,599,616/90,424
  6. Step 6: Final answer
    x = 205,438.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.