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Finding the Third Proportional to 211,016 and 488,083

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Solution

The third proportional to 211,016 and 488,083 is: 1,128,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,016 : 488,083 = 488,083 : x
  2. Step 2: Convert to fraction form
    211,016/488,083 = 488,083/x
  3. Step 3: Cross multiply
    211,016x = 488,083 × 488,083
  4. Step 4: Simplify right side
    211,016x = 238,225,014,889
  5. Step 5: Solve for x
    x = 238,225,014,889/211,016
  6. Step 6: Final answer
    x = 1,128,942.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.