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Finding the Third Proportional to 129,685 and 281,510

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Solution

The third proportional to 129,685 and 281,510 is: 611,079.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,685 : 281,510 = 281,510 : x
  2. Step 2: Convert to fraction form
    129,685/281,510 = 281,510/x
  3. Step 3: Cross multiply
    129,685x = 281,510 × 281,510
  4. Step 4: Simplify right side
    129,685x = 79,247,880,100
  5. Step 5: Solve for x
    x = 79,247,880,100/129,685
  6. Step 6: Final answer
    x = 611,079.77

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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.