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Finding the Third Proportional to 29,686 and 64,055

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Solution

The third proportional to 29,686 and 64,055 is: 138,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686 : 64,055 = 64,055 : x
  2. Step 2: Convert to fraction form
    29,686/64,055 = 64,055/x
  3. Step 3: Cross multiply
    29,686x = 64,055 × 64,055
  4. Step 4: Simplify right side
    29,686x = 4,103,043,025
  5. Step 5: Solve for x
    x = 4,103,043,025/29,686
  6. Step 6: Final answer
    x = 138,214.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.