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Finding the Third Proportional to 158,869 and 330,806

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Solution

The third proportional to 158,869 and 330,806 is: 688,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,869 : 330,806 = 330,806 : x
  2. Step 2: Convert to fraction form
    158,869/330,806 = 330,806/x
  3. Step 3: Cross multiply
    158,869x = 330,806 × 330,806
  4. Step 4: Simplify right side
    158,869x = 109,432,609,636
  5. Step 5: Solve for x
    x = 109,432,609,636/158,869
  6. Step 6: Final answer
    x = 688,822.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.