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Finding the Third Proportional to 129,145 and 193,710

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Solution

The third proportional to 129,145 and 193,710 is: 290,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,145 : 193,710 = 193,710 : x
  2. Step 2: Convert to fraction form
    129,145/193,710 = 193,710/x
  3. Step 3: Cross multiply
    129,145x = 193,710 × 193,710
  4. Step 4: Simplify right side
    129,145x = 37,523,564,100
  5. Step 5: Solve for x
    x = 37,523,564,100/129,145
  6. Step 6: Final answer
    x = 290,553.75

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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.