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Finding the Third Proportional to 314,904 and 678,192

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Solution

The third proportional to 314,904 and 678,192 is: 1,460,586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,904 : 678,192 = 678,192 : x
  2. Step 2: Convert to fraction form
    314,904/678,192 = 678,192/x
  3. Step 3: Cross multiply
    314,904x = 678,192 × 678,192
  4. Step 4: Simplify right side
    314,904x = 459,944,388,864
  5. Step 5: Solve for x
    x = 459,944,388,864/314,904
  6. Step 6: Final answer
    x = 1,460,586.05

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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.