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Finding the Third Proportional to 677,822.25 and 979,416

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Solution

The third proportional to 677,822.25 and 979,416 is: 1,415,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,822.25 : 979,416 = 979,416 : x
  2. Step 2: Convert to fraction form
    677,822.25/979,416 = 979,416/x
  3. Step 3: Cross multiply
    677,822.25x = 979,416 × 979,416
  4. Step 4: Simplify right side
    677,822.25x = 959,255,701,056
  5. Step 5: Solve for x
    x = 959,255,701,056/677,822.25
  6. Step 6: Final answer
    x = 1,415,202.44

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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.