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Finding the Third Proportional to 123.84 and 270.09

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Solution

The third proportional to 123.84 and 270.09 is: 589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.84 : 270.09 = 270.09 : x
  2. Step 2: Convert to fraction form
    123.84/270.09 = 270.09/x
  3. Step 3: Cross multiply
    123.84x = 270.09 × 270.09
  4. Step 4: Simplify right side
    123.84x = 72,950.63
  5. Step 5: Solve for x
    x = 72,950.63/123.84
  6. Step 6: Final answer
    x = 589.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.