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Finding the Third Proportional to 66,174 and 102,545

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Solution

The third proportional to 66,174 and 102,545 is: 158,906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,174 : 102,545 = 102,545 : x
  2. Step 2: Convert to fraction form
    66,174/102,545 = 102,545/x
  3. Step 3: Cross multiply
    66,174x = 102,545 × 102,545
  4. Step 4: Simplify right side
    66,174x = 10,515,477,025
  5. Step 5: Solve for x
    x = 10,515,477,025/66,174
  6. Step 6: Final answer
    x = 158,906.47

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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.