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Finding the Third Proportional to 842.63 and 1,260.84

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Solution

The third proportional to 842.63 and 1,260.84 is: 1,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.63 : 1,260.84 = 1,260.84 : x
  2. Step 2: Convert to fraction form
    842.63/1,260.84 = 1,260.84/x
  3. Step 3: Cross multiply
    842.63x = 1,260.84 × 1,260.84
  4. Step 4: Simplify right side
    842.63x = 1,589,726.96
  5. Step 5: Solve for x
    x = 1,589,726.96/842.63
  6. Step 6: Final answer
    x = 1,886.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.