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Finding the Third Proportional to 128,176 and 277,984

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Solution

The third proportional to 128,176 and 277,984 is: 602,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,176 : 277,984 = 277,984 : x
  2. Step 2: Convert to fraction form
    128,176/277,984 = 277,984/x
  3. Step 3: Cross multiply
    128,176x = 277,984 × 277,984
  4. Step 4: Simplify right side
    128,176x = 77,275,104,256
  5. Step 5: Solve for x
    x = 77,275,104,256/128,176
  6. Step 6: Final answer
    x = 602,882.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.