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Finding the Third Proportional to 128,340 and 281,480

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Solution

The third proportional to 128,340 and 281,480 is: 617,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,340 : 281,480 = 281,480 : x
  2. Step 2: Convert to fraction form
    128,340/281,480 = 281,480/x
  3. Step 3: Cross multiply
    128,340x = 281,480 × 281,480
  4. Step 4: Simplify right side
    128,340x = 79,230,990,400
  5. Step 5: Solve for x
    x = 79,230,990,400/128,340
  6. Step 6: Final answer
    x = 617,352.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.