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Finding the Third Proportional to 332,080 and 720,608

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Solution

The third proportional to 332,080 and 720,608 is: 1,563,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,080 : 720,608 = 720,608 : x
  2. Step 2: Convert to fraction form
    332,080/720,608 = 720,608/x
  3. Step 3: Cross multiply
    332,080x = 720,608 × 720,608
  4. Step 4: Simplify right side
    332,080x = 519,275,889,664
  5. Step 5: Solve for x
    x = 519,275,889,664/332,080
  6. Step 6: Final answer
    x = 1,563,707.21

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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.