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Finding the Third Proportional to 274,802 and 437,137

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Solution

The third proportional to 274,802 and 437,137 is: 695,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,802 : 437,137 = 437,137 : x
  2. Step 2: Convert to fraction form
    274,802/437,137 = 437,137/x
  3. Step 3: Cross multiply
    274,802x = 437,137 × 437,137
  4. Step 4: Simplify right side
    274,802x = 191,088,756,769
  5. Step 5: Solve for x
    x = 191,088,756,769/274,802
  6. Step 6: Final answer
    x = 695,368.87

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