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Finding the Third Proportional to 90,642 and 192,288

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Solution

The third proportional to 90,642 and 192,288 is: 407,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,642 : 192,288 = 192,288 : x
  2. Step 2: Convert to fraction form
    90,642/192,288 = 192,288/x
  3. Step 3: Cross multiply
    90,642x = 192,288 × 192,288
  4. Step 4: Simplify right side
    90,642x = 36,974,674,944
  5. Step 5: Solve for x
    x = 36,974,674,944/90,642
  6. Step 6: Final answer
    x = 407,919.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.