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Finding the Third Proportional to 456.05 and 538.84

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Solution

The third proportional to 456.05 and 538.84 is: 636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.05 : 538.84 = 538.84 : x
  2. Step 2: Convert to fraction form
    456.05/538.84 = 538.84/x
  3. Step 3: Cross multiply
    456.05x = 538.84 × 538.84
  4. Step 4: Simplify right side
    456.05x = 290,348.38
  5. Step 5: Solve for x
    x = 290,348.38/456.05
  6. Step 6: Final answer
    x = 636.66

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.