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Finding the Third Proportional to 28,103 and 61,855

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Solution

The third proportional to 28,103 and 61,855 is: 136,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,103 : 61,855 = 61,855 : x
  2. Step 2: Convert to fraction form
    28,103/61,855 = 61,855/x
  3. Step 3: Cross multiply
    28,103x = 61,855 × 61,855
  4. Step 4: Simplify right side
    28,103x = 3,826,041,025
  5. Step 5: Solve for x
    x = 3,826,041,025/28,103
  6. Step 6: Final answer
    x = 136,143.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.