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Finding the Third Proportional to 128,072 and 270,640

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Solution

The third proportional to 128,072 and 270,640 is: 571,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,072 : 270,640 = 270,640 : x
  2. Step 2: Convert to fraction form
    128,072/270,640 = 270,640/x
  3. Step 3: Cross multiply
    128,072x = 270,640 × 270,640
  4. Step 4: Simplify right side
    128,072x = 73,246,009,600
  5. Step 5: Solve for x
    x = 73,246,009,600/128,072
  6. Step 6: Final answer
    x = 571,912.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.