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Finding the Third Proportional to 274,836 and 437,190

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Solution

The third proportional to 274,836 and 437,190 is: 695,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,836 : 437,190 = 437,190 : x
  2. Step 2: Convert to fraction form
    274,836/437,190 = 437,190/x
  3. Step 3: Cross multiply
    274,836x = 437,190 × 437,190
  4. Step 4: Simplify right side
    274,836x = 191,135,096,100
  5. Step 5: Solve for x
    x = 191,135,096,100/274,836
  6. Step 6: Final answer
    x = 695,451.46

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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.