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Finding the Third Proportional to 720 and 1,848

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Solution

The third proportional to 720 and 1,848 is: 4,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    720 : 1,848 = 1,848 : x
  2. Step 2: Convert to fraction form
    720/1,848 = 1,848/x
  3. Step 3: Cross multiply
    720x = 1,848 × 1,848
  4. Step 4: Simplify right side
    720x = 3,415,104
  5. Step 5: Solve for x
    x = 3,415,104/720
  6. Step 6: Final answer
    x = 4,743.20

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.