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Finding the Third Proportional to 274,811 and 437,138

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Solution

The third proportional to 274,811 and 437,138 is: 695,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,811 : 437,138 = 437,138 : x
  2. Step 2: Convert to fraction form
    274,811/437,138 = 437,138/x
  3. Step 3: Cross multiply
    274,811x = 437,138 × 437,138
  4. Step 4: Simplify right side
    274,811x = 191,089,631,044
  5. Step 5: Solve for x
    x = 191,089,631,044/274,811
  6. Step 6: Final answer
    x = 695,349.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.