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Finding the Third Proportional to 129.84 and 216.40

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Solution

The third proportional to 129.84 and 216.40 is: 360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.84 : 216.40 = 216.40 : x
  2. Step 2: Convert to fraction form
    129.84/216.40 = 216.40/x
  3. Step 3: Cross multiply
    129.84x = 216.40 × 216.40
  4. Step 4: Simplify right side
    129.84x = 46,828.28
  5. Step 5: Solve for x
    x = 46,828.28/129.84
  6. Step 6: Final answer
    x = 360.65

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.