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Finding the Third Proportional to 272,860 and 420,954

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Solution

The third proportional to 272,860 and 420,954 is: 649,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,860 : 420,954 = 420,954 : x
  2. Step 2: Convert to fraction form
    272,860/420,954 = 420,954/x
  3. Step 3: Cross multiply
    272,860x = 420,954 × 420,954
  4. Step 4: Simplify right side
    272,860x = 177,202,270,116
  5. Step 5: Solve for x
    x = 177,202,270,116/272,860
  6. Step 6: Final answer
    x = 649,425.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.