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Finding the Third Proportional to 274,809 and 437,134.50

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Solution

The third proportional to 274,809 and 437,134.50 is: 695,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,809 : 437,134.50 = 437,134.50 : x
  2. Step 2: Convert to fraction form
    274,809/437,134.50 = 437,134.50/x
  3. Step 3: Cross multiply
    274,809x = 437,134.50 × 437,134.50
  4. Step 4: Simplify right side
    274,809x = 191,086,571,090.25
  5. Step 5: Solve for x
    x = 191,086,571,090.25/274,809
  6. Step 6: Final answer
    x = 695,343.21

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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.