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Finding the Third Proportional to 288.07 and 456.68

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Solution

The third proportional to 288.07 and 456.68 is: 723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.07 : 456.68 = 456.68 : x
  2. Step 2: Convert to fraction form
    288.07/456.68 = 456.68/x
  3. Step 3: Cross multiply
    288.07x = 456.68 × 456.68
  4. Step 4: Simplify right side
    288.07x = 208,556.34
  5. Step 5: Solve for x
    x = 208,556.34/288.07
  6. Step 6: Final answer
    x = 723.98

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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.