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Finding the Third Proportional to 66,515 and 103,271

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Solution

The third proportional to 66,515 and 103,271 is: 160,338.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,515 : 103,271 = 103,271 : x
  2. Step 2: Convert to fraction form
    66,515/103,271 = 103,271/x
  3. Step 3: Cross multiply
    66,515x = 103,271 × 103,271
  4. Step 4: Simplify right side
    66,515x = 10,664,899,441
  5. Step 5: Solve for x
    x = 10,664,899,441/66,515
  6. Step 6: Final answer
    x = 160,338.26

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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.