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Finding the Third Proportional to 445.31 and 890.53

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Solution

The third proportional to 445.31 and 890.53 is: 1,780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.31 : 890.53 = 890.53 : x
  2. Step 2: Convert to fraction form
    445.31/890.53 = 890.53/x
  3. Step 3: Cross multiply
    445.31x = 890.53 × 890.53
  4. Step 4: Simplify right side
    445.31x = 793,045.91
  5. Step 5: Solve for x
    x = 793,045.91/445.31
  6. Step 6: Final answer
    x = 1,780.88

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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.