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Finding the Third Proportional to 401.63 and 890.16

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Solution

The third proportional to 401.63 and 890.16 is: 1,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.63 : 890.16 = 890.16 : x
  2. Step 2: Convert to fraction form
    401.63/890.16 = 890.16/x
  3. Step 3: Cross multiply
    401.63x = 890.16 × 890.16
  4. Step 4: Simplify right side
    401.63x = 792,378.15
  5. Step 5: Solve for x
    x = 792,378.15/401.63
  6. Step 6: Final answer
    x = 1,972.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.