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Finding the Third Proportional to 66,536 and 105,815

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Solution

The third proportional to 66,536 and 105,815 is: 168,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,536 : 105,815 = 105,815 : x
  2. Step 2: Convert to fraction form
    66,536/105,815 = 105,815/x
  3. Step 3: Cross multiply
    66,536x = 105,815 × 105,815
  4. Step 4: Simplify right side
    66,536x = 11,196,814,225
  5. Step 5: Solve for x
    x = 11,196,814,225/66,536
  6. Step 6: Final answer
    x = 168,282.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.