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Finding the Third Proportional to 543.09 and 1,146.02

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Solution

The third proportional to 543.09 and 1,146.02 is: 2,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.09 : 1,146.02 = 1,146.02 : x
  2. Step 2: Convert to fraction form
    543.09/1,146.02 = 1,146.02/x
  3. Step 3: Cross multiply
    543.09x = 1,146.02 × 1,146.02
  4. Step 4: Simplify right side
    543.09x = 1,313,369.72
  5. Step 5: Solve for x
    x = 1,313,369.72/543.09
  6. Step 6: Final answer
    x = 2,418.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.