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Finding the Third Proportional to 442,544 and 670,503

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Solution

The third proportional to 442,544 and 670,503 is: 1,015,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,544 : 670,503 = 670,503 : x
  2. Step 2: Convert to fraction form
    442,544/670,503 = 670,503/x
  3. Step 3: Cross multiply
    442,544x = 670,503 × 670,503
  4. Step 4: Simplify right side
    442,544x = 449,574,273,009
  5. Step 5: Solve for x
    x = 449,574,273,009/442,544
  6. Step 6: Final answer
    x = 1,015,886.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.