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Finding the Third Proportional to 853.90 and 1,281.68

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Solution

The third proportional to 853.90 and 1,281.68 is: 1,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.90 : 1,281.68 = 1,281.68 : x
  2. Step 2: Convert to fraction form
    853.90/1,281.68 = 1,281.68/x
  3. Step 3: Cross multiply
    853.90x = 1,281.68 × 1,281.68
  4. Step 4: Simplify right side
    853.90x = 1,642,710.33
  5. Step 5: Solve for x
    x = 1,642,710.33/853.90
  6. Step 6: Final answer
    x = 1,923.77

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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.