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Finding the Third Proportional to 332,088 and 687,806

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Solution

The third proportional to 332,088 and 687,806 is: 1,424,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,088 : 687,806 = 687,806 : x
  2. Step 2: Convert to fraction form
    332,088/687,806 = 687,806/x
  3. Step 3: Cross multiply
    332,088x = 687,806 × 687,806
  4. Step 4: Simplify right side
    332,088x = 473,077,093,636
  5. Step 5: Solve for x
    x = 473,077,093,636/332,088
  6. Step 6: Final answer
    x = 1,424,553.41

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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.