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Finding the Third Proportional to 128,016 and 264,220

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Solution

The third proportional to 128,016 and 264,220 is: 545,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,016 : 264,220 = 264,220 : x
  2. Step 2: Convert to fraction form
    128,016/264,220 = 264,220/x
  3. Step 3: Cross multiply
    128,016x = 264,220 × 264,220
  4. Step 4: Simplify right side
    128,016x = 69,812,208,400
  5. Step 5: Solve for x
    x = 69,812,208,400/128,016
  6. Step 6: Final answer
    x = 545,339.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.