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Finding the Third Proportional to 30,278 and 66,388

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Solution

The third proportional to 30,278 and 66,388 is: 145,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,278 : 66,388 = 66,388 : x
  2. Step 2: Convert to fraction form
    30,278/66,388 = 66,388/x
  3. Step 3: Cross multiply
    30,278x = 66,388 × 66,388
  4. Step 4: Simplify right side
    30,278x = 4,407,366,544
  5. Step 5: Solve for x
    x = 4,407,366,544/30,278
  6. Step 6: Final answer
    x = 145,563.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.