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Finding the Third Proportional to 677,635 and 903,390

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Solution

The third proportional to 677,635 and 903,390 is: 1,204,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,635 : 903,390 = 903,390 : x
  2. Step 2: Convert to fraction form
    677,635/903,390 = 903,390/x
  3. Step 3: Cross multiply
    677,635x = 903,390 × 903,390
  4. Step 4: Simplify right side
    677,635x = 816,113,492,100
  5. Step 5: Solve for x
    x = 816,113,492,100/677,635
  6. Step 6: Final answer
    x = 1,204,355.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.