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Finding the Third Proportional to 421.13 and 890.63

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Solution

The third proportional to 421.13 and 890.63 is: 1,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.13 : 890.63 = 890.63 : x
  2. Step 2: Convert to fraction form
    421.13/890.63 = 890.63/x
  3. Step 3: Cross multiply
    421.13x = 890.63 × 890.63
  4. Step 4: Simplify right side
    421.13x = 793,212.89
  5. Step 5: Solve for x
    x = 793,212.89/421.13
  6. Step 6: Final answer
    x = 1,883.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.