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Finding the Third Proportional to 281,936 and 431,834

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Solution

The third proportional to 281,936 and 431,834 is: 661,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,936 : 431,834 = 431,834 : x
  2. Step 2: Convert to fraction form
    281,936/431,834 = 431,834/x
  3. Step 3: Cross multiply
    281,936x = 431,834 × 431,834
  4. Step 4: Simplify right side
    281,936x = 186,480,603,556
  5. Step 5: Solve for x
    x = 186,480,603,556/281,936
  6. Step 6: Final answer
    x = 661,428.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.