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Finding the Third Proportional to 30,928.50 and 46,680.75

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Solution

The third proportional to 30,928.50 and 46,680.75 is: 70,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,928.50 : 46,680.75 = 46,680.75 : x
  2. Step 2: Convert to fraction form
    30,928.50/46,680.75 = 46,680.75/x
  3. Step 3: Cross multiply
    30,928.50x = 46,680.75 × 46,680.75
  4. Step 4: Simplify right side
    30,928.50x = 2,179,092,420.56
  5. Step 5: Solve for x
    x = 2,179,092,420.56/30,928.50
  6. Step 6: Final answer
    x = 70,455.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.