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Finding the Third Proportional to 189,642 and 407,400

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Solution

The third proportional to 189,642 and 407,400 is: 875,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,642 : 407,400 = 407,400 : x
  2. Step 2: Convert to fraction form
    189,642/407,400 = 407,400/x
  3. Step 3: Cross multiply
    189,642x = 407,400 × 407,400
  4. Step 4: Simplify right side
    189,642x = 165,974,760,000
  5. Step 5: Solve for x
    x = 165,974,760,000/189,642
  6. Step 6: Final answer
    x = 875,200.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.