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Finding the Third Proportional to 409.69 and 575.63

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Solution

The third proportional to 409.69 and 575.63 is: 808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.69 : 575.63 = 575.63 : x
  2. Step 2: Convert to fraction form
    409.69/575.63 = 575.63/x
  3. Step 3: Cross multiply
    409.69x = 575.63 × 575.63
  4. Step 4: Simplify right side
    409.69x = 331,344.14
  5. Step 5: Solve for x
    x = 331,344.14/409.69
  6. Step 6: Final answer
    x = 808.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.