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Finding the Third Proportional to 210,633.75 and 298,042.88

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Solution

The third proportional to 210,633.75 and 298,042.88 is: 421,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,633.75 : 298,042.88 = 298,042.88 : x
  2. Step 2: Convert to fraction form
    210,633.75/298,042.88 = 298,042.88/x
  3. Step 3: Cross multiply
    210,633.75x = 298,042.88 × 298,042.88
  4. Step 4: Simplify right side
    210,633.75x = 88,829,555,338.27
  5. Step 5: Solve for x
    x = 88,829,555,338.27/210,633.75
  6. Step 6: Final answer
    x = 421,725.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.