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Finding the Third Proportional to 129,534 and 281,208

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Solution

The third proportional to 129,534 and 281,208 is: 610,480.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,534 : 281,208 = 281,208 : x
  2. Step 2: Convert to fraction form
    129,534/281,208 = 281,208/x
  3. Step 3: Cross multiply
    129,534x = 281,208 × 281,208
  4. Step 4: Simplify right side
    129,534x = 79,077,939,264
  5. Step 5: Solve for x
    x = 79,077,939,264/129,534
  6. Step 6: Final answer
    x = 610,480.18

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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.