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Finding the Third Proportional to 69,236 and 139,768

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Solution

The third proportional to 69,236 and 139,768 is: 282,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,236 : 139,768 = 139,768 : x
  2. Step 2: Convert to fraction form
    69,236/139,768 = 139,768/x
  3. Step 3: Cross multiply
    69,236x = 139,768 × 139,768
  4. Step 4: Simplify right side
    69,236x = 19,535,093,824
  5. Step 5: Solve for x
    x = 19,535,093,824/69,236
  6. Step 6: Final answer
    x = 282,152.26

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.