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Finding the Third Proportional to 203,724 and 305,970

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Solution

The third proportional to 203,724 and 305,970 is: 459,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,724 : 305,970 = 305,970 : x
  2. Step 2: Convert to fraction form
    203,724/305,970 = 305,970/x
  3. Step 3: Cross multiply
    203,724x = 305,970 × 305,970
  4. Step 4: Simplify right side
    203,724x = 93,617,640,900
  5. Step 5: Solve for x
    x = 93,617,640,900/203,724
  6. Step 6: Final answer
    x = 459,531.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.