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Finding the Third Proportional to 129,820 and 196,462

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Solution

The third proportional to 129,820 and 196,462 is: 297,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,820 : 196,462 = 196,462 : x
  2. Step 2: Convert to fraction form
    129,820/196,462 = 196,462/x
  3. Step 3: Cross multiply
    129,820x = 196,462 × 196,462
  4. Step 4: Simplify right side
    129,820x = 38,597,317,444
  5. Step 5: Solve for x
    x = 38,597,317,444/129,820
  6. Step 6: Final answer
    x = 297,314.11

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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.