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Finding the Third Proportional to 515,886 and 797,157

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Solution

The third proportional to 515,886 and 797,157 is: 1,231,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,886 : 797,157 = 797,157 : x
  2. Step 2: Convert to fraction form
    515,886/797,157 = 797,157/x
  3. Step 3: Cross multiply
    515,886x = 797,157 × 797,157
  4. Step 4: Simplify right side
    515,886x = 635,459,282,649
  5. Step 5: Solve for x
    x = 635,459,282,649/515,886
  6. Step 6: Final answer
    x = 1,231,782.38

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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.