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Finding the Third Proportional to 543,612 and 1,105,267.50

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Solution

The third proportional to 543,612 and 1,105,267.50 is: 2,247,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,612 : 1,105,267.50 = 1,105,267.50 : x
  2. Step 2: Convert to fraction form
    543,612/1,105,267.50 = 1,105,267.50/x
  3. Step 3: Cross multiply
    543,612x = 1,105,267.50 × 1,105,267.50
  4. Step 4: Simplify right side
    543,612x = 1,221,616,246,556.25
  5. Step 5: Solve for x
    x = 1,221,616,246,556.25/543,612
  6. Step 6: Final answer
    x = 2,247,220.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.