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Finding the Third Proportional to 149,190,126 and 313,840,307

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Solution

The third proportional to 149,190,126 and 313,840,307 is: 660,202,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,190,126 : 313,840,307 = 313,840,307 : x
  2. Step 2: Convert to fraction form
    149,190,126/313,840,307 = 313,840,307/x
  3. Step 3: Cross multiply
    149,190,126x = 313,840,307 × 313,840,307
  4. Step 4: Simplify right side
    149,190,126x = 98,495,738,297,854,256
  5. Step 5: Solve for x
    x = 98,495,738,297,854,256/149,190,126
  6. Step 6: Final answer
    x = 660,202,795.85

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.