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Finding the Third Proportional to 140.48 and 218.32

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Solution

The third proportional to 140.48 and 218.32 is: 339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.48 : 218.32 = 218.32 : x
  2. Step 2: Convert to fraction form
    140.48/218.32 = 218.32/x
  3. Step 3: Cross multiply
    140.48x = 218.32 × 218.32
  4. Step 4: Simplify right side
    140.48x = 47,663.76
  5. Step 5: Solve for x
    x = 47,663.76/140.48
  6. Step 6: Final answer
    x = 339.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.