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Finding the Third Proportional to 30,336 and 69,248

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Solution

The third proportional to 30,336 and 69,248 is: 158,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,336 : 69,248 = 69,248 : x
  2. Step 2: Convert to fraction form
    30,336/69,248 = 69,248/x
  3. Step 3: Cross multiply
    30,336x = 69,248 × 69,248
  4. Step 4: Simplify right side
    30,336x = 4,795,285,504
  5. Step 5: Solve for x
    x = 4,795,285,504/30,336
  6. Step 6: Final answer
    x = 158,072.44

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.