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Finding the Third Proportional to 128,340 and 281,556

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Solution

The third proportional to 128,340 and 281,556 is: 617,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,340 : 281,556 = 281,556 : x
  2. Step 2: Convert to fraction form
    128,340/281,556 = 281,556/x
  3. Step 3: Cross multiply
    128,340x = 281,556 × 281,556
  4. Step 4: Simplify right side
    128,340x = 79,273,781,136
  5. Step 5: Solve for x
    x = 79,273,781,136/128,340
  6. Step 6: Final answer
    x = 617,685.69

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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.