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Finding the Third Proportional to 515,982 and 776,997

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Solution

The third proportional to 515,982 and 776,997 is: 1,170,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,982 : 776,997 = 776,997 : x
  2. Step 2: Convert to fraction form
    515,982/776,997 = 776,997/x
  3. Step 3: Cross multiply
    515,982x = 776,997 × 776,997
  4. Step 4: Simplify right side
    515,982x = 603,724,338,009
  5. Step 5: Solve for x
    x = 603,724,338,009/515,982
  6. Step 6: Final answer
    x = 1,170,049.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.