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Finding the Third Proportional to 543,327.75 and 1,180,369.13

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Solution

The third proportional to 543,327.75 and 1,180,369.13 is: 2,564,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,327.75 : 1,180,369.13 = 1,180,369.13 : x
  2. Step 2: Convert to fraction form
    543,327.75/1,180,369.13 = 1,180,369.13/x
  3. Step 3: Cross multiply
    543,327.75x = 1,180,369.13 × 1,180,369.13
  4. Step 4: Simplify right side
    543,327.75x = 1,393,271,271,253.27
  5. Step 5: Solve for x
    x = 1,393,271,271,253.27/543,327.75
  6. Step 6: Final answer
    x = 2,564,329.30

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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.