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Finding the Third Proportional to 66,108 and 145,278

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Solution

The third proportional to 66,108 and 145,278 is: 319,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,108 : 145,278 = 145,278 : x
  2. Step 2: Convert to fraction form
    66,108/145,278 = 145,278/x
  3. Step 3: Cross multiply
    66,108x = 145,278 × 145,278
  4. Step 4: Simplify right side
    66,108x = 21,105,697,284
  5. Step 5: Solve for x
    x = 21,105,697,284/66,108
  6. Step 6: Final answer
    x = 319,260.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.