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Finding the Third Proportional to 189.23 and 407.46

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Solution

The third proportional to 189.23 and 407.46 is: 877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.23 : 407.46 = 407.46 : x
  2. Step 2: Convert to fraction form
    189.23/407.46 = 407.46/x
  3. Step 3: Cross multiply
    189.23x = 407.46 × 407.46
  4. Step 4: Simplify right side
    189.23x = 166,024.42
  5. Step 5: Solve for x
    x = 166,024.42/189.23
  6. Step 6: Final answer
    x = 877.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.