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Finding the Third Proportional to 64,110 and 139,884

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Solution

The third proportional to 64,110 and 139,884 is: 305,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,110 : 139,884 = 139,884 : x
  2. Step 2: Convert to fraction form
    64,110/139,884 = 139,884/x
  3. Step 3: Cross multiply
    64,110x = 139,884 × 139,884
  4. Step 4: Simplify right side
    64,110x = 19,567,533,456
  5. Step 5: Solve for x
    x = 19,567,533,456/64,110
  6. Step 6: Final answer
    x = 305,218.12

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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.