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Finding the Third Proportional to 29,729 and 61,917

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Solution

The third proportional to 29,729 and 61,917 is: 128,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,729 : 61,917 = 61,917 : x
  2. Step 2: Convert to fraction form
    29,729/61,917 = 61,917/x
  3. Step 3: Cross multiply
    29,729x = 61,917 × 61,917
  4. Step 4: Simplify right side
    29,729x = 3,833,714,889
  5. Step 5: Solve for x
    x = 3,833,714,889/29,729
  6. Step 6: Final answer
    x = 128,955.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.