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Finding the Third Proportional to 189,546 and 407,655

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Solution

The third proportional to 189,546 and 407,655 is: 876,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,546 : 407,655 = 407,655 : x
  2. Step 2: Convert to fraction form
    189,546/407,655 = 407,655/x
  3. Step 3: Cross multiply
    189,546x = 407,655 × 407,655
  4. Step 4: Simplify right side
    189,546x = 166,182,599,025
  5. Step 5: Solve for x
    x = 166,182,599,025/189,546
  6. Step 6: Final answer
    x = 876,740.21

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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.