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Finding the Third Proportional to 77,771.25 and 158,821.50

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Solution

The third proportional to 77,771.25 and 158,821.50 is: 324,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,771.25 : 158,821.50 = 158,821.50 : x
  2. Step 2: Convert to fraction form
    77,771.25/158,821.50 = 158,821.50/x
  3. Step 3: Cross multiply
    77,771.25x = 158,821.50 × 158,821.50
  4. Step 4: Simplify right side
    77,771.25x = 25,224,268,862.25
  5. Step 5: Solve for x
    x = 25,224,268,862.25/77,771.25
  6. Step 6: Final answer
    x = 324,339.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.