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Finding the Third Proportional to 310,414 and 677,690

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Solution

The third proportional to 310,414 and 677,690 is: 1,479,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,414 : 677,690 = 677,690 : x
  2. Step 2: Convert to fraction form
    310,414/677,690 = 677,690/x
  3. Step 3: Cross multiply
    310,414x = 677,690 × 677,690
  4. Step 4: Simplify right side
    310,414x = 459,263,736,100
  5. Step 5: Solve for x
    x = 459,263,736,100/310,414
  6. Step 6: Final answer
    x = 1,479,520.05

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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.