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Finding the Third Proportional to 476,355 and 677,100

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Solution

The third proportional to 476,355 and 677,100 is: 962,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,355 : 677,100 = 677,100 : x
  2. Step 2: Convert to fraction form
    476,355/677,100 = 677,100/x
  3. Step 3: Cross multiply
    476,355x = 677,100 × 677,100
  4. Step 4: Simplify right side
    476,355x = 458,464,410,000
  5. Step 5: Solve for x
    x = 458,464,410,000/476,355
  6. Step 6: Final answer
    x = 962,442.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.