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Finding the Third Proportional to 90,418.50 and 136,447

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Solution

The third proportional to 90,418.50 and 136,447 is: 205,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,418.50 : 136,447 = 136,447 : x
  2. Step 2: Convert to fraction form
    90,418.50/136,447 = 136,447/x
  3. Step 3: Cross multiply
    90,418.50x = 136,447 × 136,447
  4. Step 4: Simplify right side
    90,418.50x = 18,617,783,809
  5. Step 5: Solve for x
    x = 18,617,783,809/90,418.50
  6. Step 6: Final answer
    x = 205,906.80

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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.