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Finding the Third Proportional to 838,085 and 1,297,439

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Solution

The third proportional to 838,085 and 1,297,439 is: 2,008,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,085 : 1,297,439 = 1,297,439 : x
  2. Step 2: Convert to fraction form
    838,085/1,297,439 = 1,297,439/x
  3. Step 3: Cross multiply
    838,085x = 1,297,439 × 1,297,439
  4. Step 4: Simplify right side
    838,085x = 1,683,347,958,721
  5. Step 5: Solve for x
    x = 1,683,347,958,721/838,085
  6. Step 6: Final answer
    x = 2,008,564.71

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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.