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Finding the Third Proportional to 66,328 and 102,855

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Solution

The third proportional to 66,328 and 102,855 is: 159,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,328 : 102,855 = 102,855 : x
  2. Step 2: Convert to fraction form
    66,328/102,855 = 102,855/x
  3. Step 3: Cross multiply
    66,328x = 102,855 × 102,855
  4. Step 4: Simplify right side
    66,328x = 10,579,151,025
  5. Step 5: Solve for x
    x = 10,579,151,025/66,328
  6. Step 6: Final answer
    x = 159,497.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.