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Finding the Third Proportional to 381,469.50 and 590,143.50

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Solution

The third proportional to 381,469.50 and 590,143.50 is: 912,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,469.50 : 590,143.50 = 590,143.50 : x
  2. Step 2: Convert to fraction form
    381,469.50/590,143.50 = 590,143.50/x
  3. Step 3: Cross multiply
    381,469.50x = 590,143.50 × 590,143.50
  4. Step 4: Simplify right side
    381,469.50x = 348,269,350,592.25
  5. Step 5: Solve for x
    x = 348,269,350,592.25/381,469.50
  6. Step 6: Final answer
    x = 912,967.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.