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Finding the Third Proportional to 205,968 and 450,848

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Solution

The third proportional to 205,968 and 450,848 is: 986,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,968 : 450,848 = 450,848 : x
  2. Step 2: Convert to fraction form
    205,968/450,848 = 450,848/x
  3. Step 3: Cross multiply
    205,968x = 450,848 × 450,848
  4. Step 4: Simplify right side
    205,968x = 203,263,919,104
  5. Step 5: Solve for x
    x = 203,263,919,104/205,968
  6. Step 6: Final answer
    x = 986,871.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.