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Finding the Third Proportional to 129,640 and 281,410

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Solution

The third proportional to 129,640 and 281,410 is: 610,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,640 : 281,410 = 281,410 : x
  2. Step 2: Convert to fraction form
    129,640/281,410 = 281,410/x
  3. Step 3: Cross multiply
    129,640x = 281,410 × 281,410
  4. Step 4: Simplify right side
    129,640x = 79,191,588,100
  5. Step 5: Solve for x
    x = 79,191,588,100/129,640
  6. Step 6: Final answer
    x = 610,857.67

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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.