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Finding the Third Proportional to 90,698 and 136,395

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Solution

The third proportional to 90,698 and 136,395 is: 205,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,698 : 136,395 = 136,395 : x
  2. Step 2: Convert to fraction form
    90,698/136,395 = 136,395/x
  3. Step 3: Cross multiply
    90,698x = 136,395 × 136,395
  4. Step 4: Simplify right side
    90,698x = 18,603,596,025
  5. Step 5: Solve for x
    x = 18,603,596,025/90,698
  6. Step 6: Final answer
    x = 205,115.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.