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Finding the Third Proportional to 360,919.50 and 543,444

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Solution

The third proportional to 360,919.50 and 543,444 is: 818,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,919.50 : 543,444 = 543,444 : x
  2. Step 2: Convert to fraction form
    360,919.50/543,444 = 543,444/x
  3. Step 3: Cross multiply
    360,919.50x = 543,444 × 543,444
  4. Step 4: Simplify right side
    360,919.50x = 295,331,381,136
  5. Step 5: Solve for x
    x = 295,331,381,136/360,919.50
  6. Step 6: Final answer
    x = 818,274.94

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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.