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Finding the Third Proportional to 332,640 and 722,142

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Solution

The third proportional to 332,640 and 722,142 is: 1,567,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,640 : 722,142 = 722,142 : x
  2. Step 2: Convert to fraction form
    332,640/722,142 = 722,142/x
  3. Step 3: Cross multiply
    332,640x = 722,142 × 722,142
  4. Step 4: Simplify right side
    332,640x = 521,489,068,164
  5. Step 5: Solve for x
    x = 521,489,068,164/332,640
  6. Step 6: Final answer
    x = 1,567,728.08

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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.