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Finding the Third Proportional to 47,050.88 and 100,480.50

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Solution

The third proportional to 47,050.88 and 100,480.50 is: 214,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,050.88 : 100,480.50 = 100,480.50 : x
  2. Step 2: Convert to fraction form
    47,050.88/100,480.50 = 100,480.50/x
  3. Step 3: Cross multiply
    47,050.88x = 100,480.50 × 100,480.50
  4. Step 4: Simplify right side
    47,050.88x = 10,096,330,880.25
  5. Step 5: Solve for x
    x = 10,096,330,880.25/47,050.88
  6. Step 6: Final answer
    x = 214,583.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.