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Finding the Third Proportional to 445,689 and 670,662

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Solution

The third proportional to 445,689 and 670,662 is: 1,009,195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,689 : 670,662 = 670,662 : x
  2. Step 2: Convert to fraction form
    445,689/670,662 = 670,662/x
  3. Step 3: Cross multiply
    445,689x = 670,662 × 670,662
  4. Step 4: Simplify right side
    445,689x = 449,787,518,244
  5. Step 5: Solve for x
    x = 449,787,518,244/445,689
  6. Step 6: Final answer
    x = 1,009,195.92

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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.