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Finding the Third Proportional to 511,853 and 802,873

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Solution

The third proportional to 511,853 and 802,873 is: 1,259,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,853 : 802,873 = 802,873 : x
  2. Step 2: Convert to fraction form
    511,853/802,873 = 802,873/x
  3. Step 3: Cross multiply
    511,853x = 802,873 × 802,873
  4. Step 4: Simplify right side
    511,853x = 644,605,054,129
  5. Step 5: Solve for x
    x = 644,605,054,129/511,853
  6. Step 6: Final answer
    x = 1,259,355.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.