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Finding the Third Proportional to 314,187 and 678,189

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Solution

The third proportional to 314,187 and 678,189 is: 1,463,906.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,187 : 678,189 = 678,189 : x
  2. Step 2: Convert to fraction form
    314,187/678,189 = 678,189/x
  3. Step 3: Cross multiply
    314,187x = 678,189 × 678,189
  4. Step 4: Simplify right side
    314,187x = 459,940,319,721
  5. Step 5: Solve for x
    x = 459,940,319,721/314,187
  6. Step 6: Final answer
    x = 1,463,906.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.