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Finding the Third Proportional to 66,764,820 and 142,347,912

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Solution

The third proportional to 66,764,820 and 142,347,912 is: 303,497,082.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,764,820 : 142,347,912 = 142,347,912 : x
  2. Step 2: Convert to fraction form
    66,764,820/142,347,912 = 142,347,912/x
  3. Step 3: Cross multiply
    66,764,820x = 142,347,912 × 142,347,912
  4. Step 4: Simplify right side
    66,764,820x = 20,262,928,050,759,744
  5. Step 5: Solve for x
    x = 20,262,928,050,759,744/66,764,820
  6. Step 6: Final answer
    x = 303,497,082.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.