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Finding the Third Proportional to 543,254.50 and 1,180,968.50

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Solution

The third proportional to 543,254.50 and 1,180,968.50 is: 2,567,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,254.50 : 1,180,968.50 = 1,180,968.50 : x
  2. Step 2: Convert to fraction form
    543,254.50/1,180,968.50 = 1,180,968.50/x
  3. Step 3: Cross multiply
    543,254.50x = 1,180,968.50 × 1,180,968.50
  4. Step 4: Simplify right side
    543,254.50x = 1,394,686,597,992.25
  5. Step 5: Solve for x
    x = 1,394,686,597,992.25/543,254.50
  6. Step 6: Final answer
    x = 2,567,280.34

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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.