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Finding the Third Proportional to 274,362 and 422,242.75

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Solution

The third proportional to 274,362 and 422,242.75 is: 649,831.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,362 : 422,242.75 = 422,242.75 : x
  2. Step 2: Convert to fraction form
    274,362/422,242.75 = 422,242.75/x
  3. Step 3: Cross multiply
    274,362x = 422,242.75 × 422,242.75
  4. Step 4: Simplify right side
    274,362x = 178,288,939,927.56
  5. Step 5: Solve for x
    x = 178,288,939,927.56/274,362
  6. Step 6: Final answer
    x = 649,831.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.