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Finding the Third Proportional to 836.14 and 1,284.65

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Solution

The third proportional to 836.14 and 1,284.65 is: 1,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.14 : 1,284.65 = 1,284.65 : x
  2. Step 2: Convert to fraction form
    836.14/1,284.65 = 1,284.65/x
  3. Step 3: Cross multiply
    836.14x = 1,284.65 × 1,284.65
  4. Step 4: Simplify right side
    836.14x = 1,650,322.86
  5. Step 5: Solve for x
    x = 1,650,322.86/836.14
  6. Step 6: Final answer
    x = 1,973.73

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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.