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Finding the Third Proportional to 129,271 and 269,612

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Solution

The third proportional to 129,271 and 269,612 is: 562,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,271 : 269,612 = 269,612 : x
  2. Step 2: Convert to fraction form
    129,271/269,612 = 269,612/x
  3. Step 3: Cross multiply
    129,271x = 269,612 × 269,612
  4. Step 4: Simplify right side
    129,271x = 72,690,630,544
  5. Step 5: Solve for x
    x = 72,690,630,544/129,271
  6. Step 6: Final answer
    x = 562,311.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.