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Finding the Third Proportional to 64,568 and 139,859

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Solution

The third proportional to 64,568 and 139,859 is: 302,944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,568 : 139,859 = 139,859 : x
  2. Step 2: Convert to fraction form
    64,568/139,859 = 139,859/x
  3. Step 3: Cross multiply
    64,568x = 139,859 × 139,859
  4. Step 4: Simplify right side
    64,568x = 19,560,539,881
  5. Step 5: Solve for x
    x = 19,560,539,881/64,568
  6. Step 6: Final answer
    x = 302,944.80

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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.