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Finding the Third Proportional to 411.22 and 899.33

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Solution

The third proportional to 411.22 and 899.33 is: 1,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.22 : 899.33 = 899.33 : x
  2. Step 2: Convert to fraction form
    411.22/899.33 = 899.33/x
  3. Step 3: Cross multiply
    411.22x = 899.33 × 899.33
  4. Step 4: Simplify right side
    411.22x = 808,798.10
  5. Step 5: Solve for x
    x = 808,798.10/411.22
  6. Step 6: Final answer
    x = 1,966.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.