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Finding the Third Proportional to 68,517 and 147,888

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Solution

The third proportional to 68,517 and 147,888 is: 319,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,517 : 147,888 = 147,888 : x
  2. Step 2: Convert to fraction form
    68,517/147,888 = 147,888/x
  3. Step 3: Cross multiply
    68,517x = 147,888 × 147,888
  4. Step 4: Simplify right side
    68,517x = 21,870,860,544
  5. Step 5: Solve for x
    x = 21,870,860,544/68,517
  6. Step 6: Final answer
    x = 319,203.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.