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Finding the Third Proportional to 129,912 and 196,272

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Solution

The third proportional to 129,912 and 196,272 is: 296,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,912 : 196,272 = 196,272 : x
  2. Step 2: Convert to fraction form
    129,912/196,272 = 196,272/x
  3. Step 3: Cross multiply
    129,912x = 196,272 × 196,272
  4. Step 4: Simplify right side
    129,912x = 38,522,697,984
  5. Step 5: Solve for x
    x = 38,522,697,984/129,912
  6. Step 6: Final answer
    x = 296,529.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.