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Finding the Third Proportional to 256,992.75 and 376,722

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Solution

The third proportional to 256,992.75 and 376,722 is: 552,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,992.75 : 376,722 = 376,722 : x
  2. Step 2: Convert to fraction form
    256,992.75/376,722 = 376,722/x
  3. Step 3: Cross multiply
    256,992.75x = 376,722 × 376,722
  4. Step 4: Simplify right side
    256,992.75x = 141,919,465,284
  5. Step 5: Solve for x
    x = 141,919,465,284/256,992.75
  6. Step 6: Final answer
    x = 552,231.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.