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Finding the Third Proportional to 274,810 and 437,149

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Solution

The third proportional to 274,810 and 437,149 is: 695,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,810 : 437,149 = 437,149 : x
  2. Step 2: Convert to fraction form
    274,810/437,149 = 437,149/x
  3. Step 3: Cross multiply
    274,810x = 437,149 × 437,149
  4. Step 4: Simplify right side
    274,810x = 191,099,248,201
  5. Step 5: Solve for x
    x = 191,099,248,201/274,810
  6. Step 6: Final answer
    x = 695,386.81

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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.