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Finding the Third Proportional to 189,420 and 402,200

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Solution

The third proportional to 189,420 and 402,200 is: 854,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,420 : 402,200 = 402,200 : x
  2. Step 2: Convert to fraction form
    189,420/402,200 = 402,200/x
  3. Step 3: Cross multiply
    189,420x = 402,200 × 402,200
  4. Step 4: Simplify right side
    189,420x = 161,764,840,000
  5. Step 5: Solve for x
    x = 161,764,840,000/189,420
  6. Step 6: Final answer
    x = 854,000.84

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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.