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Finding the Third Proportional to 28,209 and 66,832

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Solution

The third proportional to 28,209 and 66,832 is: 158,336.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,209 : 66,832 = 66,832 : x
  2. Step 2: Convert to fraction form
    28,209/66,832 = 66,832/x
  3. Step 3: Cross multiply
    28,209x = 66,832 × 66,832
  4. Step 4: Simplify right side
    28,209x = 4,466,516,224
  5. Step 5: Solve for x
    x = 4,466,516,224/28,209
  6. Step 6: Final answer
    x = 158,336.57

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.