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Finding the Third Proportional to 127,128 and 274,248

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Solution

The third proportional to 127,128 and 274,248 is: 591,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,128 : 274,248 = 274,248 : x
  2. Step 2: Convert to fraction form
    127,128/274,248 = 274,248/x
  3. Step 3: Cross multiply
    127,128x = 274,248 × 274,248
  4. Step 4: Simplify right side
    127,128x = 75,211,965,504
  5. Step 5: Solve for x
    x = 75,211,965,504/127,128
  6. Step 6: Final answer
    x = 591,623.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.