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Finding the Third Proportional to 189,645 and 407,406

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Solution

The third proportional to 189,645 and 407,406 is: 875,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,645 : 407,406 = 407,406 : x
  2. Step 2: Convert to fraction form
    189,645/407,406 = 407,406/x
  3. Step 3: Cross multiply
    189,645x = 407,406 × 407,406
  4. Step 4: Simplify right side
    189,645x = 165,979,648,836
  5. Step 5: Solve for x
    x = 165,979,648,836/189,645
  6. Step 6: Final answer
    x = 875,212.36

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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.