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Finding the Third Proportional to 72,333 and 105,671.25

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Solution

The third proportional to 72,333 and 105,671.25 is: 154,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,333 : 105,671.25 = 105,671.25 : x
  2. Step 2: Convert to fraction form
    72,333/105,671.25 = 105,671.25/x
  3. Step 3: Cross multiply
    72,333x = 105,671.25 × 105,671.25
  4. Step 4: Simplify right side
    72,333x = 11,166,413,076.56
  5. Step 5: Solve for x
    x = 11,166,413,076.56/72,333
  6. Step 6: Final answer
    x = 154,375.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.