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Finding the Third Proportional to 332,122 and 687,881

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Solution

The third proportional to 332,122 and 687,881 is: 1,424,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,122 : 687,881 = 687,881 : x
  2. Step 2: Convert to fraction form
    332,122/687,881 = 687,881/x
  3. Step 3: Cross multiply
    332,122x = 687,881 × 687,881
  4. Step 4: Simplify right side
    332,122x = 473,180,270,161
  5. Step 5: Solve for x
    x = 473,180,270,161/332,122
  6. Step 6: Final answer
    x = 1,424,718.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.