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Finding the Third Proportional to 43,669 and 65,865

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Solution

The third proportional to 43,669 and 65,865 is: 99,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,669 : 65,865 = 65,865 : x
  2. Step 2: Convert to fraction form
    43,669/65,865 = 65,865/x
  3. Step 3: Cross multiply
    43,669x = 65,865 × 65,865
  4. Step 4: Simplify right side
    43,669x = 4,338,198,225
  5. Step 5: Solve for x
    x = 4,338,198,225/43,669
  6. Step 6: Final answer
    x = 99,342.74

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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.