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Finding the Third Proportional to 28,207.50 and 66,828.75

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Solution

The third proportional to 28,207.50 and 66,828.75 is: 158,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,207.50 : 66,828.75 = 66,828.75 : x
  2. Step 2: Convert to fraction form
    28,207.50/66,828.75 = 66,828.75/x
  3. Step 3: Cross multiply
    28,207.50x = 66,828.75 × 66,828.75
  4. Step 4: Simplify right side
    28,207.50x = 4,466,081,826.56
  5. Step 5: Solve for x
    x = 4,466,081,826.56/28,207.50
  6. Step 6: Final answer
    x = 158,329.59

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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.