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Finding the Third Proportional to 27,818 and 57,478

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Solution

The third proportional to 27,818 and 57,478 is: 118,761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818 : 57,478 = 57,478 : x
  2. Step 2: Convert to fraction form
    27,818/57,478 = 57,478/x
  3. Step 3: Cross multiply
    27,818x = 57,478 × 57,478
  4. Step 4: Simplify right side
    27,818x = 3,303,720,484
  5. Step 5: Solve for x
    x = 3,303,720,484/27,818
  6. Step 6: Final answer
    x = 118,761.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.