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Finding the Third Proportional to 122,806 and 189,636

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Solution

The third proportional to 122,806 and 189,636 is: 292,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,806 : 189,636 = 189,636 : x
  2. Step 2: Convert to fraction form
    122,806/189,636 = 189,636/x
  3. Step 3: Cross multiply
    122,806x = 189,636 × 189,636
  4. Step 4: Simplify right side
    122,806x = 35,961,812,496
  5. Step 5: Solve for x
    x = 35,961,812,496/122,806
  6. Step 6: Final answer
    x = 292,834.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.