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Finding the Third Proportional to 521,738 and 829,948

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Solution

The third proportional to 521,738 and 829,948 is: 1,320,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,738 : 829,948 = 829,948 : x
  2. Step 2: Convert to fraction form
    521,738/829,948 = 829,948/x
  3. Step 3: Cross multiply
    521,738x = 829,948 × 829,948
  4. Step 4: Simplify right side
    521,738x = 688,813,682,704
  5. Step 5: Solve for x
    x = 688,813,682,704/521,738
  6. Step 6: Final answer
    x = 1,320,229.09

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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.