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Finding the Third Proportional to 129,012 and 195,462

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Solution

The third proportional to 129,012 and 195,462 is: 296,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,012 : 195,462 = 195,462 : x
  2. Step 2: Convert to fraction form
    129,012/195,462 = 195,462/x
  3. Step 3: Cross multiply
    129,012x = 195,462 × 195,462
  4. Step 4: Simplify right side
    129,012x = 38,205,393,444
  5. Step 5: Solve for x
    x = 38,205,393,444/129,012
  6. Step 6: Final answer
    x = 296,138.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.