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Finding the Third Proportional to 66,760,200 and 143,101,728

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Solution

The third proportional to 66,760,200 and 143,101,728 is: 306,741,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,760,200 : 143,101,728 = 143,101,728 : x
  2. Step 2: Convert to fraction form
    66,760,200/143,101,728 = 143,101,728/x
  3. Step 3: Cross multiply
    66,760,200x = 143,101,728 × 143,101,728
  4. Step 4: Simplify right side
    66,760,200x = 20,478,104,556,585,984
  5. Step 5: Solve for x
    x = 20,478,104,556,585,984/66,760,200
  6. Step 6: Final answer
    x = 306,741,210.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.