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Finding the Third Proportional to 4,425 and 7,111.50

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Solution

The third proportional to 4,425 and 7,111.50 is: 11,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425 : 7,111.50 = 7,111.50 : x
  2. Step 2: Convert to fraction form
    4,425/7,111.50 = 7,111.50/x
  3. Step 3: Cross multiply
    4,425x = 7,111.50 × 7,111.50
  4. Step 4: Simplify right side
    4,425x = 50,573,432.25
  5. Step 5: Solve for x
    x = 50,573,432.25/4,425
  6. Step 6: Final answer
    x = 11,429.02

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.