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Finding the Third Proportional to 129,828 and 195,210

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Solution

The third proportional to 129,828 and 195,210 is: 293,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,828 : 195,210 = 195,210 : x
  2. Step 2: Convert to fraction form
    129,828/195,210 = 195,210/x
  3. Step 3: Cross multiply
    129,828x = 195,210 × 195,210
  4. Step 4: Simplify right side
    129,828x = 38,106,944,100
  5. Step 5: Solve for x
    x = 38,106,944,100/129,828
  6. Step 6: Final answer
    x = 293,518.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.