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Finding the Third Proportional to 64,138.50 and 139,227.75

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Solution

The third proportional to 64,138.50 and 139,227.75 is: 302,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,138.50 : 139,227.75 = 139,227.75 : x
  2. Step 2: Convert to fraction form
    64,138.50/139,227.75 = 139,227.75/x
  3. Step 3: Cross multiply
    64,138.50x = 139,227.75 × 139,227.75
  4. Step 4: Simplify right side
    64,138.50x = 19,384,366,370.06
  5. Step 5: Solve for x
    x = 19,384,366,370.06/64,138.50
  6. Step 6: Final answer
    x = 302,226.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.