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Finding the Third Proportional to 128,679 and 283,533

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Solution

The third proportional to 128,679 and 283,533 is: 624,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,679 : 283,533 = 283,533 : x
  2. Step 2: Convert to fraction form
    128,679/283,533 = 283,533/x
  3. Step 3: Cross multiply
    128,679x = 283,533 × 283,533
  4. Step 4: Simplify right side
    128,679x = 80,390,962,089
  5. Step 5: Solve for x
    x = 80,390,962,089/128,679
  6. Step 6: Final answer
    x = 624,740.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.