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Finding the Third Proportional to 129,816 and 196,128

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Solution

The third proportional to 129,816 and 196,128 is: 296,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,816 : 196,128 = 196,128 : x
  2. Step 2: Convert to fraction form
    129,816/196,128 = 196,128/x
  3. Step 3: Cross multiply
    129,816x = 196,128 × 196,128
  4. Step 4: Simplify right side
    129,816x = 38,466,192,384
  5. Step 5: Solve for x
    x = 38,466,192,384/129,816
  6. Step 6: Final answer
    x = 296,313.18

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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.