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Finding the Third Proportional to 274,626.28 and 415,812.23

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Solution

The third proportional to 274,626.28 and 415,812.23 is: 629,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,626.28 : 415,812.23 = 415,812.23 : x
  2. Step 2: Convert to fraction form
    274,626.28/415,812.23 = 415,812.23/x
  3. Step 3: Cross multiply
    274,626.28x = 415,812.23 × 415,812.23
  4. Step 4: Simplify right side
    274,626.28x = 172,899,814,255.93
  5. Step 5: Solve for x
    x = 172,899,814,255.93/274,626.28
  6. Step 6: Final answer
    x = 629,582.19

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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.