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Finding the Third Proportional to 129,292 and 281,852

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Solution

The third proportional to 129,292 and 281,852 is: 614,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,292 : 281,852 = 281,852 : x
  2. Step 2: Convert to fraction form
    129,292/281,852 = 281,852/x
  3. Step 3: Cross multiply
    129,292x = 281,852 × 281,852
  4. Step 4: Simplify right side
    129,292x = 79,440,549,904
  5. Step 5: Solve for x
    x = 79,440,549,904/129,292
  6. Step 6: Final answer
    x = 614,427.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.