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Finding the Third Proportional to 890.63 and 1,781.06

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Solution

The third proportional to 890.63 and 1,781.06 is: 3,561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.63 : 1,781.06 = 1,781.06 : x
  2. Step 2: Convert to fraction form
    890.63/1,781.06 = 1,781.06/x
  3. Step 3: Cross multiply
    890.63x = 1,781.06 × 1,781.06
  4. Step 4: Simplify right side
    890.63x = 3,172,183.63
  5. Step 5: Solve for x
    x = 3,172,183.63/890.63
  6. Step 6: Final answer
    x = 3,561.75

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.