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Finding the Third Proportional to 521,454 and 806,121

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Solution

The third proportional to 521,454 and 806,121 is: 1,246,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,454 : 806,121 = 806,121 : x
  2. Step 2: Convert to fraction form
    521,454/806,121 = 806,121/x
  3. Step 3: Cross multiply
    521,454x = 806,121 × 806,121
  4. Step 4: Simplify right side
    521,454x = 649,831,066,641
  5. Step 5: Solve for x
    x = 649,831,066,641/521,454
  6. Step 6: Final answer
    x = 1,246,190.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.