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Finding the Third Proportional to 543.09 and 850.36

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Solution

The third proportional to 543.09 and 850.36 is: 1,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.09 : 850.36 = 850.36 : x
  2. Step 2: Convert to fraction form
    543.09/850.36 = 850.36/x
  3. Step 3: Cross multiply
    543.09x = 850.36 × 850.36
  4. Step 4: Simplify right side
    543.09x = 723,111.07
  5. Step 5: Solve for x
    x = 723,111.07/543.09
  6. Step 6: Final answer
    x = 1,331.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.