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Finding the Third Proportional to 787,289 and 1,180,728

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Solution

The third proportional to 787,289 and 1,180,728 is: 1,770,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,289 : 1,180,728 = 1,180,728 : x
  2. Step 2: Convert to fraction form
    787,289/1,180,728 = 1,180,728/x
  3. Step 3: Cross multiply
    787,289x = 1,180,728 × 1,180,728
  4. Step 4: Simplify right side
    787,289x = 1,394,118,609,984
  5. Step 5: Solve for x
    x = 1,394,118,609,984/787,289
  6. Step 6: Final answer
    x = 1,770,783.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.