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Finding the Third Proportional to 129,018 and 195,471

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Solution

The third proportional to 129,018 and 195,471 is: 296,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,018 : 195,471 = 195,471 : x
  2. Step 2: Convert to fraction form
    129,018/195,471 = 195,471/x
  3. Step 3: Cross multiply
    129,018x = 195,471 × 195,471
  4. Step 4: Simplify right side
    129,018x = 38,208,911,841
  5. Step 5: Solve for x
    x = 38,208,911,841/129,018
  6. Step 6: Final answer
    x = 296,151.79

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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.