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Finding the Third Proportional to 231.93 and 435.06

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Solution

The third proportional to 231.93 and 435.06 is: 816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.93 : 435.06 = 435.06 : x
  2. Step 2: Convert to fraction form
    231.93/435.06 = 435.06/x
  3. Step 3: Cross multiply
    231.93x = 435.06 × 435.06
  4. Step 4: Simplify right side
    231.93x = 189,275.98
  5. Step 5: Solve for x
    x = 189,275.98/231.93
  6. Step 6: Final answer
    x = 816.11

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.