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Finding the Third Proportional to 521,886 and 808,081

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Solution

The third proportional to 521,886 and 808,081 is: 1,251,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,886 : 808,081 = 808,081 : x
  2. Step 2: Convert to fraction form
    521,886/808,081 = 808,081/x
  3. Step 3: Cross multiply
    521,886x = 808,081 × 808,081
  4. Step 4: Simplify right side
    521,886x = 652,994,902,561
  5. Step 5: Solve for x
    x = 652,994,902,561/521,886
  6. Step 6: Final answer
    x = 1,251,221.34

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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.