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Finding the Third Proportional to 64,106 and 139,876

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Solution

The third proportional to 64,106 and 139,876 is: 305,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,106 : 139,876 = 139,876 : x
  2. Step 2: Convert to fraction form
    64,106/139,876 = 139,876/x
  3. Step 3: Cross multiply
    64,106x = 139,876 × 139,876
  4. Step 4: Simplify right side
    64,106x = 19,565,295,376
  5. Step 5: Solve for x
    x = 19,565,295,376/64,106
  6. Step 6: Final answer
    x = 305,202.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.