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Finding the Third Proportional to 401,682,911.25 and 620,432,369.25

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Solution

The third proportional to 401,682,911.25 and 620,432,369.25 is: 958,308,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,682,911.25 : 620,432,369.25 = 620,432,369.25 : x
  2. Step 2: Convert to fraction form
    401,682,911.25/620,432,369.25 = 620,432,369.25/x
  3. Step 3: Cross multiply
    401,682,911.25x = 620,432,369.25 × 620,432,369.25
  4. Step 4: Simplify right side
    401,682,911.25x = 384,936,324,813,168,320
  5. Step 5: Solve for x
    x = 384,936,324,813,168,320/401,682,911.25
  6. Step 6: Final answer
    x = 958,308,939.79

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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.