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Finding the Third Proportional to 189,412 and 402,182

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Solution

The third proportional to 189,412 and 402,182 is: 853,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,412 : 402,182 = 402,182 : x
  2. Step 2: Convert to fraction form
    189,412/402,182 = 402,182/x
  3. Step 3: Cross multiply
    189,412x = 402,182 × 402,182
  4. Step 4: Simplify right side
    189,412x = 161,750,361,124
  5. Step 5: Solve for x
    x = 161,750,361,124/189,412
  6. Step 6: Final answer
    x = 853,960.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.