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Finding the Third Proportional to 571.22 and 890.16

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Solution

The third proportional to 571.22 and 890.16 is: 1,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.22 : 890.16 = 890.16 : x
  2. Step 2: Convert to fraction form
    571.22/890.16 = 890.16/x
  3. Step 3: Cross multiply
    571.22x = 890.16 × 890.16
  4. Step 4: Simplify right side
    571.22x = 792,378.15
  5. Step 5: Solve for x
    x = 792,378.15/571.22
  6. Step 6: Final answer
    x = 1,387.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.