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Finding the Third Proportional to 28,505 and 66,605

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Solution

The third proportional to 28,505 and 66,605 is: 155,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,505 : 66,605 = 66,605 : x
  2. Step 2: Convert to fraction form
    28,505/66,605 = 66,605/x
  3. Step 3: Cross multiply
    28,505x = 66,605 × 66,605
  4. Step 4: Simplify right side
    28,505x = 4,436,226,025
  5. Step 5: Solve for x
    x = 4,436,226,025/28,505
  6. Step 6: Final answer
    x = 155,629.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.