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Finding the Third Proportional to 288.80 and 384.08

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Solution

The third proportional to 288.80 and 384.08 is: 510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.80 : 384.08 = 384.08 : x
  2. Step 2: Convert to fraction form
    288.80/384.08 = 384.08/x
  3. Step 3: Cross multiply
    288.80x = 384.08 × 384.08
  4. Step 4: Simplify right side
    288.80x = 147,515.63
  5. Step 5: Solve for x
    x = 147,515.63/288.80
  6. Step 6: Final answer
    x = 510.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.