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Finding the Third Proportional to 445,698 and 670,665

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Solution

The third proportional to 445,698 and 670,665 is: 1,009,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,698 : 670,665 = 670,665 : x
  2. Step 2: Convert to fraction form
    445,698/670,665 = 670,665/x
  3. Step 3: Cross multiply
    445,698x = 670,665 × 670,665
  4. Step 4: Simplify right side
    445,698x = 449,791,542,225
  5. Step 5: Solve for x
    x = 449,791,542,225/445,698
  6. Step 6: Final answer
    x = 1,009,184.56

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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.