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Finding the Third Proportional to 64,856 and 132,930

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Solution

The third proportional to 64,856 and 132,930 is: 272,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,856 : 132,930 = 132,930 : x
  2. Step 2: Convert to fraction form
    64,856/132,930 = 132,930/x
  3. Step 3: Cross multiply
    64,856x = 132,930 × 132,930
  4. Step 4: Simplify right side
    64,856x = 17,670,384,900
  5. Step 5: Solve for x
    x = 17,670,384,900/64,856
  6. Step 6: Final answer
    x = 272,455.67

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.