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Finding the Third Proportional to 66,278 and 100,384

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Solution

The third proportional to 66,278 and 100,384 is: 152,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,278 : 100,384 = 100,384 : x
  2. Step 2: Convert to fraction form
    66,278/100,384 = 100,384/x
  3. Step 3: Cross multiply
    66,278x = 100,384 × 100,384
  4. Step 4: Simplify right side
    66,278x = 10,076,947,456
  5. Step 5: Solve for x
    x = 10,076,947,456/66,278
  6. Step 6: Final answer
    x = 152,040.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.