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Finding the Third Proportional to 28,821.75 and 67,319.25

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Solution

The third proportional to 28,821.75 and 67,319.25 is: 157,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,821.75 : 67,319.25 = 67,319.25 : x
  2. Step 2: Convert to fraction form
    28,821.75/67,319.25 = 67,319.25/x
  3. Step 3: Cross multiply
    28,821.75x = 67,319.25 × 67,319.25
  4. Step 4: Simplify right side
    28,821.75x = 4,531,881,420.56
  5. Step 5: Solve for x
    x = 4,531,881,420.56/28,821.75
  6. Step 6: Final answer
    x = 157,238.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.