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Finding the Third Proportional to 552,642 and 853,385

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Solution

The third proportional to 552,642 and 853,385 is: 1,317,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,642 : 853,385 = 853,385 : x
  2. Step 2: Convert to fraction form
    552,642/853,385 = 853,385/x
  3. Step 3: Cross multiply
    552,642x = 853,385 × 853,385
  4. Step 4: Simplify right side
    552,642x = 728,265,958,225
  5. Step 5: Solve for x
    x = 728,265,958,225/552,642
  6. Step 6: Final answer
    x = 1,317,789.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.