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Finding the Third Proportional to 515,986 and 777,003

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Solution

The third proportional to 515,986 and 777,003 is: 1,170,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,986 : 777,003 = 777,003 : x
  2. Step 2: Convert to fraction form
    515,986/777,003 = 777,003/x
  3. Step 3: Cross multiply
    515,986x = 777,003 × 777,003
  4. Step 4: Simplify right side
    515,986x = 603,733,662,009
  5. Step 5: Solve for x
    x = 603,733,662,009/515,986
  6. Step 6: Final answer
    x = 1,170,058.22

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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.