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Finding the Third Proportional to 65.84 and 143.92

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Solution

The third proportional to 65.84 and 143.92 is: 314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.84 : 143.92 = 143.92 : x
  2. Step 2: Convert to fraction form
    65.84/143.92 = 143.92/x
  3. Step 3: Cross multiply
    65.84x = 143.92 × 143.92
  4. Step 4: Simplify right side
    65.84x = 20,713.51
  5. Step 5: Solve for x
    x = 20,713.51/65.84
  6. Step 6: Final answer
    x = 314.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.