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Finding the Third Proportional to 129,128 and 195,624

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Solution

The third proportional to 129,128 and 195,624 is: 296,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,128 : 195,624 = 195,624 : x
  2. Step 2: Convert to fraction form
    129,128/195,624 = 195,624/x
  3. Step 3: Cross multiply
    129,128x = 195,624 × 195,624
  4. Step 4: Simplify right side
    129,128x = 38,268,749,376
  5. Step 5: Solve for x
    x = 38,268,749,376/129,128
  6. Step 6: Final answer
    x = 296,362.91

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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.