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Finding the Third Proportional to 534,242 and 821,523

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Solution

The third proportional to 534,242 and 821,523 is: 1,263,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,242 : 821,523 = 821,523 : x
  2. Step 2: Convert to fraction form
    534,242/821,523 = 821,523/x
  3. Step 3: Cross multiply
    534,242x = 821,523 × 821,523
  4. Step 4: Simplify right side
    534,242x = 674,900,039,529
  5. Step 5: Solve for x
    x = 674,900,039,529/534,242
  6. Step 6: Final answer
    x = 1,263,285.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.