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Finding the Third Proportional to 332,096 and 720,640

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Solution

The third proportional to 332,096 and 720,640 is: 1,563,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,096 : 720,640 = 720,640 : x
  2. Step 2: Convert to fraction form
    332,096/720,640 = 720,640/x
  3. Step 3: Cross multiply
    332,096x = 720,640 × 720,640
  4. Step 4: Simplify right side
    332,096x = 519,322,009,600
  5. Step 5: Solve for x
    x = 519,322,009,600/332,096
  6. Step 6: Final answer
    x = 1,563,770.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.