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Finding the Third Proportional to 210,960 and 281,804

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Solution

The third proportional to 210,960 and 281,804 is: 376,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,960 : 281,804 = 281,804 : x
  2. Step 2: Convert to fraction form
    210,960/281,804 = 281,804/x
  3. Step 3: Cross multiply
    210,960x = 281,804 × 281,804
  4. Step 4: Simplify right side
    210,960x = 79,413,494,416
  5. Step 5: Solve for x
    x = 79,413,494,416/210,960
  6. Step 6: Final answer
    x = 376,438.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.