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Finding the Third Proportional to 311,067 and 687,798

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Solution

The third proportional to 311,067 and 687,798 is: 1,520,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,067 : 687,798 = 687,798 : x
  2. Step 2: Convert to fraction form
    311,067/687,798 = 687,798/x
  3. Step 3: Cross multiply
    311,067x = 687,798 × 687,798
  4. Step 4: Simplify right side
    311,067x = 473,066,088,804
  5. Step 5: Solve for x
    x = 473,066,088,804/311,067
  6. Step 6: Final answer
    x = 1,520,785.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.