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Finding the Third Proportional to 1,752.73 and 3,721.89

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Solution

The third proportional to 1,752.73 and 3,721.89 is: 7,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.73 : 3,721.89 = 3,721.89 : x
  2. Step 2: Convert to fraction form
    1,752.73/3,721.89 = 3,721.89/x
  3. Step 3: Cross multiply
    1,752.73x = 3,721.89 × 3,721.89
  4. Step 4: Simplify right side
    1,752.73x = 13,852,440.75
  5. Step 5: Solve for x
    x = 13,852,440.75/1,752.73
  6. Step 6: Final answer
    x = 7,903.34

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.