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Finding the Third Proportional to 128,640 and 274,272

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Solution

The third proportional to 128,640 and 274,272 is: 584,772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,640 : 274,272 = 274,272 : x
  2. Step 2: Convert to fraction form
    128,640/274,272 = 274,272/x
  3. Step 3: Cross multiply
    128,640x = 274,272 × 274,272
  4. Step 4: Simplify right side
    128,640x = 75,225,129,984
  5. Step 5: Solve for x
    x = 75,225,129,984/128,640
  6. Step 6: Final answer
    x = 584,772.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.