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Finding the Third Proportional to 481,464 and 644,112

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Solution

The third proportional to 481,464 and 644,112 is: 861,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,464 : 644,112 = 644,112 : x
  2. Step 2: Convert to fraction form
    481,464/644,112 = 644,112/x
  3. Step 3: Cross multiply
    481,464x = 644,112 × 644,112
  4. Step 4: Simplify right side
    481,464x = 414,880,268,544
  5. Step 5: Solve for x
    x = 414,880,268,544/481,464
  6. Step 6: Final answer
    x = 861,705.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.