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Finding the Third Proportional to 274,509 and 438,311.25

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Solution

The third proportional to 274,509 and 438,311.25 is: 699,855.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,509 : 438,311.25 = 438,311.25 : x
  2. Step 2: Convert to fraction form
    274,509/438,311.25 = 438,311.25/x
  3. Step 3: Cross multiply
    274,509x = 438,311.25 × 438,311.25
  4. Step 4: Simplify right side
    274,509x = 192,116,751,876.56
  5. Step 5: Solve for x
    x = 192,116,751,876.56/274,509
  6. Step 6: Final answer
    x = 699,855.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.