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Finding the Third Proportional to 933.75 and 2,044.13

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Solution

The third proportional to 933.75 and 2,044.13 is: 4,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.75 : 2,044.13 = 2,044.13 : x
  2. Step 2: Convert to fraction form
    933.75/2,044.13 = 2,044.13/x
  3. Step 3: Cross multiply
    933.75x = 2,044.13 × 2,044.13
  4. Step 4: Simplify right side
    933.75x = 4,178,447.02
  5. Step 5: Solve for x
    x = 4,178,447.02/933.75
  6. Step 6: Final answer
    x = 4,474.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.