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Finding the Third Proportional to 128,725.50 and 283,629

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Solution

The third proportional to 128,725.50 and 283,629 is: 624,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,725.50 : 283,629 = 283,629 : x
  2. Step 2: Convert to fraction form
    128,725.50/283,629 = 283,629/x
  3. Step 3: Cross multiply
    128,725.50x = 283,629 × 283,629
  4. Step 4: Simplify right side
    128,725.50x = 80,445,409,641
  5. Step 5: Solve for x
    x = 80,445,409,641/128,725.50
  6. Step 6: Final answer
    x = 624,937.64

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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.