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Finding the Third Proportional to 121,454 and 192,021

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Solution

The third proportional to 121,454 and 192,021 is: 303,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,454 : 192,021 = 192,021 : x
  2. Step 2: Convert to fraction form
    121,454/192,021 = 192,021/x
  3. Step 3: Cross multiply
    121,454x = 192,021 × 192,021
  4. Step 4: Simplify right side
    121,454x = 36,872,064,441
  5. Step 5: Solve for x
    x = 36,872,064,441/121,454
  6. Step 6: Final answer
    x = 303,588.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.