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Finding the Third Proportional to 90,154 and 192,370

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Solution

The third proportional to 90,154 and 192,370 is: 410,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,154 : 192,370 = 192,370 : x
  2. Step 2: Convert to fraction form
    90,154/192,370 = 192,370/x
  3. Step 3: Cross multiply
    90,154x = 192,370 × 192,370
  4. Step 4: Simplify right side
    90,154x = 37,006,216,900
  5. Step 5: Solve for x
    x = 37,006,216,900/90,154
  6. Step 6: Final answer
    x = 410,477.81

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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.