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Finding the Third Proportional to 515,918 and 797,205

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Solution

The third proportional to 515,918 and 797,205 is: 1,231,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,918 : 797,205 = 797,205 : x
  2. Step 2: Convert to fraction form
    515,918/797,205 = 797,205/x
  3. Step 3: Cross multiply
    515,918x = 797,205 × 797,205
  4. Step 4: Simplify right side
    515,918x = 635,535,812,025
  5. Step 5: Solve for x
    x = 635,535,812,025/515,918
  6. Step 6: Final answer
    x = 1,231,854.31

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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.