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Finding the Third Proportional to 412.59 and 899.16

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Solution

The third proportional to 412.59 and 899.16 is: 1,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.59 : 899.16 = 899.16 : x
  2. Step 2: Convert to fraction form
    412.59/899.16 = 899.16/x
  3. Step 3: Cross multiply
    412.59x = 899.16 × 899.16
  4. Step 4: Simplify right side
    412.59x = 808,481.96
  5. Step 5: Solve for x
    x = 808,481.96/412.59
  6. Step 6: Final answer
    x = 1,959.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.