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Finding the Third Proportional to 128,338 and 281,476

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Solution

The third proportional to 128,338 and 281,476 is: 617,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,338 : 281,476 = 281,476 : x
  2. Step 2: Convert to fraction form
    128,338/281,476 = 281,476/x
  3. Step 3: Cross multiply
    128,338x = 281,476 × 281,476
  4. Step 4: Simplify right side
    128,338x = 79,228,738,576
  5. Step 5: Solve for x
    x = 79,228,738,576/128,338
  6. Step 6: Final answer
    x = 617,344.35

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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.