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Finding the Third Proportional to 515,880 and 797,148

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Solution

The third proportional to 515,880 and 797,148 is: 1,231,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,880 : 797,148 = 797,148 : x
  2. Step 2: Convert to fraction form
    515,880/797,148 = 797,148/x
  3. Step 3: Cross multiply
    515,880x = 797,148 × 797,148
  4. Step 4: Simplify right side
    515,880x = 635,444,933,904
  5. Step 5: Solve for x
    x = 635,444,933,904/515,880
  6. Step 6: Final answer
    x = 1,231,768.89

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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.