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Finding the Third Proportional to 128.67 and 277.45

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Solution

The third proportional to 128.67 and 277.45 is: 598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.67 : 277.45 = 277.45 : x
  2. Step 2: Convert to fraction form
    128.67/277.45 = 277.45/x
  3. Step 3: Cross multiply
    128.67x = 277.45 × 277.45
  4. Step 4: Simplify right side
    128.67x = 76,980.24
  5. Step 5: Solve for x
    x = 76,980.24/128.67
  6. Step 6: Final answer
    x = 598.27

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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.