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Finding the Third Proportional to 210,969 and 281,818

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Solution

The third proportional to 210,969 and 281,818 is: 376,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,969 : 281,818 = 281,818 : x
  2. Step 2: Convert to fraction form
    210,969/281,818 = 281,818/x
  3. Step 3: Cross multiply
    210,969x = 281,818 × 281,818
  4. Step 4: Simplify right side
    210,969x = 79,421,385,124
  5. Step 5: Solve for x
    x = 79,421,385,124/210,969
  6. Step 6: Final answer
    x = 376,459.98

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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.