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Finding the Third Proportional to 128,280 and 273,984

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Solution

The third proportional to 128,280 and 273,984 is: 585,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,280 : 273,984 = 273,984 : x
  2. Step 2: Convert to fraction form
    128,280/273,984 = 273,984/x
  3. Step 3: Cross multiply
    128,280x = 273,984 × 273,984
  4. Step 4: Simplify right side
    128,280x = 75,067,232,256
  5. Step 5: Solve for x
    x = 75,067,232,256/128,280
  6. Step 6: Final answer
    x = 585,182.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.