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Finding the Third Proportional to 355,190.50 and 543,358.50

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Solution

The third proportional to 355,190.50 and 543,358.50 is: 831,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,190.50 : 543,358.50 = 543,358.50 : x
  2. Step 2: Convert to fraction form
    355,190.50/543,358.50 = 543,358.50/x
  3. Step 3: Cross multiply
    355,190.50x = 543,358.50 × 543,358.50
  4. Step 4: Simplify right side
    355,190.50x = 295,238,459,522.25
  5. Step 5: Solve for x
    x = 295,238,459,522.25/355,190.50
  6. Step 6: Final answer
    x = 831,211.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.