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Finding the Third Proportional to 677,823 and 979,417

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Solution

The third proportional to 677,823 and 979,417 is: 1,415,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,823 : 979,417 = 979,417 : x
  2. Step 2: Convert to fraction form
    677,823/979,417 = 979,417/x
  3. Step 3: Cross multiply
    677,823x = 979,417 × 979,417
  4. Step 4: Simplify right side
    677,823x = 959,257,659,889
  5. Step 5: Solve for x
    x = 959,257,659,889/677,823
  6. Step 6: Final answer
    x = 1,415,203.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.