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Finding the Third Proportional to 842.75 and 1,300.13

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Solution

The third proportional to 842.75 and 1,300.13 is: 2,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.75 : 1,300.13 = 1,300.13 : x
  2. Step 2: Convert to fraction form
    842.75/1,300.13 = 1,300.13/x
  3. Step 3: Cross multiply
    842.75x = 1,300.13 × 1,300.13
  4. Step 4: Simplify right side
    842.75x = 1,690,325.02
  5. Step 5: Solve for x
    x = 1,690,325.02/842.75
  6. Step 6: Final answer
    x = 2,005.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.