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Finding the Third Proportional to 90,810 and 192,435

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Solution

The third proportional to 90,810 and 192,435 is: 407,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,810 : 192,435 = 192,435 : x
  2. Step 2: Convert to fraction form
    90,810/192,435 = 192,435/x
  3. Step 3: Cross multiply
    90,810x = 192,435 × 192,435
  4. Step 4: Simplify right side
    90,810x = 37,031,229,225
  5. Step 5: Solve for x
    x = 37,031,229,225/90,810
  6. Step 6: Final answer
    x = 407,788.01

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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.