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Finding the Third Proportional to 543,280.50 and 1,180,055.25

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Solution

The third proportional to 543,280.50 and 1,180,055.25 is: 2,563,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,280.50 : 1,180,055.25 = 1,180,055.25 : x
  2. Step 2: Convert to fraction form
    543,280.50/1,180,055.25 = 1,180,055.25/x
  3. Step 3: Cross multiply
    543,280.50x = 1,180,055.25 × 1,180,055.25
  4. Step 4: Simplify right side
    543,280.50x = 1,392,530,393,052.56
  5. Step 5: Solve for x
    x = 1,392,530,393,052.56/543,280.50
  6. Step 6: Final answer
    x = 2,563,188.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.