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Finding the Third Proportional to 128,180 and 277,992

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Solution

The third proportional to 128,180 and 277,992 is: 602,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,180 : 277,992 = 277,992 : x
  2. Step 2: Convert to fraction form
    128,180/277,992 = 277,992/x
  3. Step 3: Cross multiply
    128,180x = 277,992 × 277,992
  4. Step 4: Simplify right side
    128,180x = 77,279,552,064
  5. Step 5: Solve for x
    x = 77,279,552,064/128,180
  6. Step 6: Final answer
    x = 602,898.67

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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.