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Finding the Third Proportional to 985.22 and 1,403.86

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Solution

The third proportional to 985.22 and 1,403.86 is: 2,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.22 : 1,403.86 = 1,403.86 : x
  2. Step 2: Convert to fraction form
    985.22/1,403.86 = 1,403.86/x
  3. Step 3: Cross multiply
    985.22x = 1,403.86 × 1,403.86
  4. Step 4: Simplify right side
    985.22x = 1,970,821.14
  5. Step 5: Solve for x
    x = 1,970,821.14/985.22
  6. Step 6: Final answer
    x = 2,000.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.