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Finding the Third Proportional to 538,578 and 836,307

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Solution

The third proportional to 538,578 and 836,307 is: 1,298,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,578 : 836,307 = 836,307 : x
  2. Step 2: Convert to fraction form
    538,578/836,307 = 836,307/x
  3. Step 3: Cross multiply
    538,578x = 836,307 × 836,307
  4. Step 4: Simplify right side
    538,578x = 699,409,398,249
  5. Step 5: Solve for x
    x = 699,409,398,249/538,578
  6. Step 6: Final answer
    x = 1,298,622.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.