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Finding the Third Proportional to 468.44 and 687.47

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Solution

The third proportional to 468.44 and 687.47 is: 1,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.44 : 687.47 = 687.47 : x
  2. Step 2: Convert to fraction form
    468.44/687.47 = 687.47/x
  3. Step 3: Cross multiply
    468.44x = 687.47 × 687.47
  4. Step 4: Simplify right side
    468.44x = 472,613.28
  5. Step 5: Solve for x
    x = 472,613.28/468.44
  6. Step 6: Final answer
    x = 1,008.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.