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Finding the Third Proportional to 4,100.06 and 9,625.78

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Solution

The third proportional to 4,100.06 and 9,625.78 is: 22,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.06 : 9,625.78 = 9,625.78 : x
  2. Step 2: Convert to fraction form
    4,100.06/9,625.78 = 9,625.78/x
  3. Step 3: Cross multiply
    4,100.06x = 9,625.78 × 9,625.78
  4. Step 4: Simplify right side
    4,100.06x = 92,655,664.67
  5. Step 5: Solve for x
    x = 92,655,664.67/4,100.06
  6. Step 6: Final answer
    x = 22,598.60

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.