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Finding the Third Proportional to 189,314 and 407,788

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Solution

The third proportional to 189,314 and 407,788 is: 878,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,314 : 407,788 = 407,788 : x
  2. Step 2: Convert to fraction form
    189,314/407,788 = 407,788/x
  3. Step 3: Cross multiply
    189,314x = 407,788 × 407,788
  4. Step 4: Simplify right side
    189,314x = 166,291,052,944
  5. Step 5: Solve for x
    x = 166,291,052,944/189,314
  6. Step 6: Final answer
    x = 878,387.51

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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.