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Finding the Third Proportional to 128,018 and 264,224

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Solution

The third proportional to 128,018 and 264,224 is: 545,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,018 : 264,224 = 264,224 : x
  2. Step 2: Convert to fraction form
    128,018/264,224 = 264,224/x
  3. Step 3: Cross multiply
    128,018x = 264,224 × 264,224
  4. Step 4: Simplify right side
    128,018x = 69,814,322,176
  5. Step 5: Solve for x
    x = 69,814,322,176/128,018
  6. Step 6: Final answer
    x = 545,347.70

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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.