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Finding the Third Proportional to 28,315 and 57,859

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Solution

The third proportional to 28,315 and 57,859 is: 118,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,315 : 57,859 = 57,859 : x
  2. Step 2: Convert to fraction form
    28,315/57,859 = 57,859/x
  3. Step 3: Cross multiply
    28,315x = 57,859 × 57,859
  4. Step 4: Simplify right side
    28,315x = 3,347,663,881
  5. Step 5: Solve for x
    x = 3,347,663,881/28,315
  6. Step 6: Final answer
    x = 118,229.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.