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Finding the Third Proportional to 210,970 and 281,821

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Solution

The third proportional to 210,970 and 281,821 is: 376,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,970 : 281,821 = 281,821 : x
  2. Step 2: Convert to fraction form
    210,970/281,821 = 281,821/x
  3. Step 3: Cross multiply
    210,970x = 281,821 × 281,821
  4. Step 4: Simplify right side
    210,970x = 79,423,076,041
  5. Step 5: Solve for x
    x = 79,423,076,041/210,970
  6. Step 6: Final answer
    x = 376,466.21

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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.