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Finding the Third Proportional to 310,869 and 677,934

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Solution

The third proportional to 310,869 and 677,934 is: 1,478,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,869 : 677,934 = 677,934 : x
  2. Step 2: Convert to fraction form
    310,869/677,934 = 677,934/x
  3. Step 3: Cross multiply
    310,869x = 677,934 × 677,934
  4. Step 4: Simplify right side
    310,869x = 459,594,508,356
  5. Step 5: Solve for x
    x = 459,594,508,356/310,869
  6. Step 6: Final answer
    x = 1,478,418.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.