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Finding the Third Proportional to 190.31 and 407.63

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Solution

The third proportional to 190.31 and 407.63 is: 873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.31 : 407.63 = 407.63 : x
  2. Step 2: Convert to fraction form
    190.31/407.63 = 407.63/x
  3. Step 3: Cross multiply
    190.31x = 407.63 × 407.63
  4. Step 4: Simplify right side
    190.31x = 166,158.14
  5. Step 5: Solve for x
    x = 166,158.14/190.31
  6. Step 6: Final answer
    x = 873.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.