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Finding the Third Proportional to 281,728 and 611,226

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Solution

The third proportional to 281,728 and 611,226 is: 1,326,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,728 : 611,226 = 611,226 : x
  2. Step 2: Convert to fraction form
    281,728/611,226 = 611,226/x
  3. Step 3: Cross multiply
    281,728x = 611,226 × 611,226
  4. Step 4: Simplify right side
    281,728x = 373,597,223,076
  5. Step 5: Solve for x
    x = 373,597,223,076/281,728
  6. Step 6: Final answer
    x = 1,326,091.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.