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Finding the Third Proportional to 43,698 and 65,905

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Solution

The third proportional to 43,698 and 65,905 is: 99,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,698 : 65,905 = 65,905 : x
  2. Step 2: Convert to fraction form
    43,698/65,905 = 65,905/x
  3. Step 3: Cross multiply
    43,698x = 65,905 × 65,905
  4. Step 4: Simplify right side
    43,698x = 4,343,469,025
  5. Step 5: Solve for x
    x = 4,343,469,025/43,698
  6. Step 6: Final answer
    x = 99,397.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.