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Finding the Third Proportional to 401,682,912.75 and 620,432,371.13

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Solution

The third proportional to 401,682,912.75 and 620,432,371.13 is: 958,308,942.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,682,912.75 : 620,432,371.13 = 620,432,371.13 : x
  2. Step 2: Convert to fraction form
    401,682,912.75/620,432,371.13 = 620,432,371.13/x
  3. Step 3: Cross multiply
    401,682,912.75x = 620,432,371.13 × 620,432,371.13
  4. Step 4: Simplify right side
    401,682,912.75x = 384,936,327,139,789,760
  5. Step 5: Solve for x
    x = 384,936,327,139,789,760/401,682,912.75
  6. Step 6: Final answer
    x = 958,308,942.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.