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Finding the Third Proportional to 254,066 and 356,811

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Solution

The third proportional to 254,066 and 356,811 is: 501,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,066 : 356,811 = 356,811 : x
  2. Step 2: Convert to fraction form
    254,066/356,811 = 356,811/x
  3. Step 3: Cross multiply
    254,066x = 356,811 × 356,811
  4. Step 4: Simplify right side
    254,066x = 127,314,089,721
  5. Step 5: Solve for x
    x = 127,314,089,721/254,066
  6. Step 6: Final answer
    x = 501,106.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.