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Finding the Third Proportional to 23,577.75 and 33,328.13

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Solution

The third proportional to 23,577.75 and 33,328.13 is: 47,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577.75 : 33,328.13 = 33,328.13 : x
  2. Step 2: Convert to fraction form
    23,577.75/33,328.13 = 33,328.13/x
  3. Step 3: Cross multiply
    23,577.75x = 33,328.13 × 33,328.13
  4. Step 4: Simplify right side
    23,577.75x = 1,110,763,916.02
  5. Step 5: Solve for x
    x = 1,110,763,916.02/23,577.75
  6. Step 6: Final answer
    x = 47,110.68

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.