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Finding the Third Proportional to 412.31 and 905.63

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Solution

The third proportional to 412.31 and 905.63 is: 1,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.31 : 905.63 = 905.63 : x
  2. Step 2: Convert to fraction form
    412.31/905.63 = 905.63/x
  3. Step 3: Cross multiply
    412.31x = 905.63 × 905.63
  4. Step 4: Simplify right side
    412.31x = 820,156.64
  5. Step 5: Solve for x
    x = 820,156.64/412.31
  6. Step 6: Final answer
    x = 1,989.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.