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Finding the Third Proportional to 543.78 and 1,000.22

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Solution

The third proportional to 543.78 and 1,000.22 is: 1,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.78 : 1,000.22 = 1,000.22 : x
  2. Step 2: Convert to fraction form
    543.78/1,000.22 = 1,000.22/x
  3. Step 3: Cross multiply
    543.78x = 1,000.22 × 1,000.22
  4. Step 4: Simplify right side
    543.78x = 1,000,437.55
  5. Step 5: Solve for x
    x = 1,000,437.55/543.78
  6. Step 6: Final answer
    x = 1,839.78

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.