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Finding the Third Proportional to 192,354 and 420,108

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Solution

The third proportional to 192,354 and 420,108 is: 917,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,354 : 420,108 = 420,108 : x
  2. Step 2: Convert to fraction form
    192,354/420,108 = 420,108/x
  3. Step 3: Cross multiply
    192,354x = 420,108 × 420,108
  4. Step 4: Simplify right side
    192,354x = 176,490,731,664
  5. Step 5: Solve for x
    x = 176,490,731,664/192,354
  6. Step 6: Final answer
    x = 917,530.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.