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Finding the Third Proportional to 90,408 and 192,480

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Solution

The third proportional to 90,408 and 192,480 is: 409,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,408 : 192,480 = 192,480 : x
  2. Step 2: Convert to fraction form
    90,408/192,480 = 192,480/x
  3. Step 3: Cross multiply
    90,408x = 192,480 × 192,480
  4. Step 4: Simplify right side
    90,408x = 37,048,550,400
  5. Step 5: Solve for x
    x = 37,048,550,400/90,408
  6. Step 6: Final answer
    x = 409,792.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.