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Finding the Third Proportional to 274,609 and 413,317.50

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Solution

The third proportional to 274,609 and 413,317.50 is: 622,089.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,609 : 413,317.50 = 413,317.50 : x
  2. Step 2: Convert to fraction form
    274,609/413,317.50 = 413,317.50/x
  3. Step 3: Cross multiply
    274,609x = 413,317.50 × 413,317.50
  4. Step 4: Simplify right side
    274,609x = 170,831,355,806.25
  5. Step 5: Solve for x
    x = 170,831,355,806.25/274,609
  6. Step 6: Final answer
    x = 622,089.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.