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Finding the Third Proportional to 129,992 and 281,306

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Solution

The third proportional to 129,992 and 281,306 is: 608,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,992 : 281,306 = 281,306 : x
  2. Step 2: Convert to fraction form
    129,992/281,306 = 281,306/x
  3. Step 3: Cross multiply
    129,992x = 281,306 × 281,306
  4. Step 4: Simplify right side
    129,992x = 79,133,065,636
  5. Step 5: Solve for x
    x = 79,133,065,636/129,992
  6. Step 6: Final answer
    x = 608,753.35

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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.