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Finding the Third Proportional to 91,975.50 and 142,884

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Solution

The third proportional to 91,975.50 and 142,884 is: 221,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,975.50 : 142,884 = 142,884 : x
  2. Step 2: Convert to fraction form
    91,975.50/142,884 = 142,884/x
  3. Step 3: Cross multiply
    91,975.50x = 142,884 × 142,884
  4. Step 4: Simplify right side
    91,975.50x = 20,415,837,456
  5. Step 5: Solve for x
    x = 20,415,837,456/91,975.50
  6. Step 6: Final answer
    x = 221,970.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.