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Finding the Third Proportional to 121,792 and 191,102

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Solution

The third proportional to 121,792 and 191,102 is: 299,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,792 : 191,102 = 191,102 : x
  2. Step 2: Convert to fraction form
    121,792/191,102 = 191,102/x
  3. Step 3: Cross multiply
    121,792x = 191,102 × 191,102
  4. Step 4: Simplify right side
    121,792x = 36,519,974,404
  5. Step 5: Solve for x
    x = 36,519,974,404/121,792
  6. Step 6: Final answer
    x = 299,855.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.