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Finding the Third Proportional to 189,394 and 407,462

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Solution

The third proportional to 189,394 and 407,462 is: 876,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,394 : 407,462 = 407,462 : x
  2. Step 2: Convert to fraction form
    189,394/407,462 = 407,462/x
  3. Step 3: Cross multiply
    189,394x = 407,462 × 407,462
  4. Step 4: Simplify right side
    189,394x = 166,025,281,444
  5. Step 5: Solve for x
    x = 166,025,281,444/189,394
  6. Step 6: Final answer
    x = 876,613.21

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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.