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Finding the Third Proportional to 129,142 and 281,156

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Solution

The third proportional to 129,142 and 281,156 is: 612,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,142 : 281,156 = 281,156 : x
  2. Step 2: Convert to fraction form
    129,142/281,156 = 281,156/x
  3. Step 3: Cross multiply
    129,142x = 281,156 × 281,156
  4. Step 4: Simplify right side
    129,142x = 79,048,696,336
  5. Step 5: Solve for x
    x = 79,048,696,336/129,142
  6. Step 6: Final answer
    x = 612,106.80

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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.