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Finding the Third Proportional to 128,256 and 174,720

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Solution

The third proportional to 128,256 and 174,720 is: 238,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,256 : 174,720 = 174,720 : x
  2. Step 2: Convert to fraction form
    128,256/174,720 = 174,720/x
  3. Step 3: Cross multiply
    128,256x = 174,720 × 174,720
  4. Step 4: Simplify right side
    128,256x = 30,527,078,400
  5. Step 5: Solve for x
    x = 30,527,078,400/128,256
  6. Step 6: Final answer
    x = 238,016.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.