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Finding the Third Proportional to 277.80 and 405.28

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Solution

The third proportional to 277.80 and 405.28 is: 591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.80 : 405.28 = 405.28 : x
  2. Step 2: Convert to fraction form
    277.80/405.28 = 405.28/x
  3. Step 3: Cross multiply
    277.80x = 405.28 × 405.28
  4. Step 4: Simplify right side
    277.80x = 164,252.89
  5. Step 5: Solve for x
    x = 164,252.89/277.80
  6. Step 6: Final answer
    x = 591.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.