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Finding the Third Proportional to 515,636 and 796,788

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Solution

The third proportional to 515,636 and 796,788 is: 1,231,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,636 : 796,788 = 796,788 : x
  2. Step 2: Convert to fraction form
    515,636/796,788 = 796,788/x
  3. Step 3: Cross multiply
    515,636x = 796,788 × 796,788
  4. Step 4: Simplify right side
    515,636x = 634,871,116,944
  5. Step 5: Solve for x
    x = 634,871,116,944/515,636
  6. Step 6: Final answer
    x = 1,231,238.93

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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.