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Finding the Third Proportional to 129,803 and 281,749

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Solution

The third proportional to 129,803 and 281,749 is: 611,561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,803 : 281,749 = 281,749 : x
  2. Step 2: Convert to fraction form
    129,803/281,749 = 281,749/x
  3. Step 3: Cross multiply
    129,803x = 281,749 × 281,749
  4. Step 4: Simplify right side
    129,803x = 79,382,499,001
  5. Step 5: Solve for x
    x = 79,382,499,001/129,803
  6. Step 6: Final answer
    x = 611,561.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.