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Finding the Third Proportional to 351,078 and 520,056

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Solution

The third proportional to 351,078 and 520,056 is: 770,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,078 : 520,056 = 520,056 : x
  2. Step 2: Convert to fraction form
    351,078/520,056 = 520,056/x
  3. Step 3: Cross multiply
    351,078x = 520,056 × 520,056
  4. Step 4: Simplify right side
    351,078x = 270,458,243,136
  5. Step 5: Solve for x
    x = 270,458,243,136/351,078
  6. Step 6: Final answer
    x = 770,365.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.