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Finding the Third Proportional to 281,236 and 411,270

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Solution

The third proportional to 281,236 and 411,270 is: 601,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,236 : 411,270 = 411,270 : x
  2. Step 2: Convert to fraction form
    281,236/411,270 = 411,270/x
  3. Step 3: Cross multiply
    281,236x = 411,270 × 411,270
  4. Step 4: Simplify right side
    281,236x = 169,143,012,900
  5. Step 5: Solve for x
    x = 169,143,012,900/281,236
  6. Step 6: Final answer
    x = 601,427.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.