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Finding the Third Proportional to 313,902 and 678,102

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Solution

The third proportional to 313,902 and 678,102 is: 1,464,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,902 : 678,102 = 678,102 : x
  2. Step 2: Convert to fraction form
    313,902/678,102 = 678,102/x
  3. Step 3: Cross multiply
    313,902x = 678,102 × 678,102
  4. Step 4: Simplify right side
    313,902x = 459,822,322,404
  5. Step 5: Solve for x
    x = 459,822,322,404/313,902
  6. Step 6: Final answer
    x = 1,464,859.49

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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.