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Finding the Third Proportional to 66,554 and 144,610

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Solution

The third proportional to 66,554 and 144,610 is: 314,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,554 : 144,610 = 144,610 : x
  2. Step 2: Convert to fraction form
    66,554/144,610 = 144,610/x
  3. Step 3: Cross multiply
    66,554x = 144,610 × 144,610
  4. Step 4: Simplify right side
    66,554x = 20,912,052,100
  5. Step 5: Solve for x
    x = 20,912,052,100/66,554
  6. Step 6: Final answer
    x = 314,211.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.