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Finding the Third Proportional to 427.15 and 890.58

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Solution

The third proportional to 427.15 and 890.58 is: 1,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.15 : 890.58 = 890.58 : x
  2. Step 2: Convert to fraction form
    427.15/890.58 = 890.58/x
  3. Step 3: Cross multiply
    427.15x = 890.58 × 890.58
  4. Step 4: Simplify right side
    427.15x = 793,129.40
  5. Step 5: Solve for x
    x = 793,129.40/427.15
  6. Step 6: Final answer
    x = 1,856.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.