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Finding the Third Proportional to 189,271 and 290,923

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Solution

The third proportional to 189,271 and 290,923 is: 447,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,271 : 290,923 = 290,923 : x
  2. Step 2: Convert to fraction form
    189,271/290,923 = 290,923/x
  3. Step 3: Cross multiply
    189,271x = 290,923 × 290,923
  4. Step 4: Simplify right side
    189,271x = 84,636,191,929
  5. Step 5: Solve for x
    x = 84,636,191,929/189,271
  6. Step 6: Final answer
    x = 447,169.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.