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Finding the Third Proportional to 331,212 and 722,688

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Solution

The third proportional to 331,212 and 722,688 is: 1,576,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,212 : 722,688 = 722,688 : x
  2. Step 2: Convert to fraction form
    331,212/722,688 = 722,688/x
  3. Step 3: Cross multiply
    331,212x = 722,688 × 722,688
  4. Step 4: Simplify right side
    331,212x = 522,277,945,344
  5. Step 5: Solve for x
    x = 522,277,945,344/331,212
  6. Step 6: Final answer
    x = 1,576,869.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.