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Finding the Third Proportional to 288.42 and 458.51

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Solution

The third proportional to 288.42 and 458.51 is: 728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.42 : 458.51 = 458.51 : x
  2. Step 2: Convert to fraction form
    288.42/458.51 = 458.51/x
  3. Step 3: Cross multiply
    288.42x = 458.51 × 458.51
  4. Step 4: Simplify right side
    288.42x = 210,229.41
  5. Step 5: Solve for x
    x = 210,229.41/288.42
  6. Step 6: Final answer
    x = 728.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.