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Finding the Third Proportional to 64.83 and 143.68

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Solution

The third proportional to 64.83 and 143.68 is: 318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.83 : 143.68 = 143.68 : x
  2. Step 2: Convert to fraction form
    64.83/143.68 = 143.68/x
  3. Step 3: Cross multiply
    64.83x = 143.68 × 143.68
  4. Step 4: Simplify right side
    64.83x = 20,644.98
  5. Step 5: Solve for x
    x = 20,644.98/64.83
  6. Step 6: Final answer
    x = 318.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.