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Finding the Third Proportional to 129,996 and 281,313

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Solution

The third proportional to 129,996 and 281,313 is: 608,764.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,996 : 281,313 = 281,313 : x
  2. Step 2: Convert to fraction form
    129,996/281,313 = 281,313/x
  3. Step 3: Cross multiply
    129,996x = 281,313 × 281,313
  4. Step 4: Simplify right side
    129,996x = 79,137,003,969
  5. Step 5: Solve for x
    x = 79,137,003,969/129,996
  6. Step 6: Final answer
    x = 608,764.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.