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Finding the Third Proportional to 521,690 and 829,227

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Solution

The third proportional to 521,690 and 829,227 is: 1,318,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,690 : 829,227 = 829,227 : x
  2. Step 2: Convert to fraction form
    521,690/829,227 = 829,227/x
  3. Step 3: Cross multiply
    521,690x = 829,227 × 829,227
  4. Step 4: Simplify right side
    521,690x = 687,617,417,529
  5. Step 5: Solve for x
    x = 687,617,417,529/521,690
  6. Step 6: Final answer
    x = 1,318,057.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.