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Finding the Third Proportional to 820,898 and 1,228,044

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Solution

The third proportional to 820,898 and 1,228,044 is: 1,837,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,898 : 1,228,044 = 1,228,044 : x
  2. Step 2: Convert to fraction form
    820,898/1,228,044 = 1,228,044/x
  3. Step 3: Cross multiply
    820,898x = 1,228,044 × 1,228,044
  4. Step 4: Simplify right side
    820,898x = 1,508,092,065,936
  5. Step 5: Solve for x
    x = 1,508,092,065,936/820,898
  6. Step 6: Final answer
    x = 1,837,124.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.