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Finding the Third Proportional to 538,834 and 836,691

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Solution

The third proportional to 538,834 and 836,691 is: 1,299,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,834 : 836,691 = 836,691 : x
  2. Step 2: Convert to fraction form
    538,834/836,691 = 836,691/x
  3. Step 3: Cross multiply
    538,834x = 836,691 × 836,691
  4. Step 4: Simplify right side
    538,834x = 700,051,829,481
  5. Step 5: Solve for x
    x = 700,051,829,481/538,834
  6. Step 6: Final answer
    x = 1,299,197.58

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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.