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Finding the Third Proportional to 117,056 and 276,215

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Solution

The third proportional to 117,056 and 276,215 is: 651,779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,056 : 276,215 = 276,215 : x
  2. Step 2: Convert to fraction form
    117,056/276,215 = 276,215/x
  3. Step 3: Cross multiply
    117,056x = 276,215 × 276,215
  4. Step 4: Simplify right side
    117,056x = 76,294,726,225
  5. Step 5: Solve for x
    x = 76,294,726,225/117,056
  6. Step 6: Final answer
    x = 651,779.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.