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Finding the Third Proportional to 371,338 and 812,227

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Solution

The third proportional to 371,338 and 812,227 is: 1,776,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,338 : 812,227 = 812,227 : x
  2. Step 2: Convert to fraction form
    371,338/812,227 = 812,227/x
  3. Step 3: Cross multiply
    371,338x = 812,227 × 812,227
  4. Step 4: Simplify right side
    371,338x = 659,712,699,529
  5. Step 5: Solve for x
    x = 659,712,699,529/371,338
  6. Step 6: Final answer
    x = 1,776,582.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.