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Finding the Third Proportional to 210,819.09 and 323,843.91

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Solution

The third proportional to 210,819.09 and 323,843.91 is: 497,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,819.09 : 323,843.91 = 323,843.91 : x
  2. Step 2: Convert to fraction form
    210,819.09/323,843.91 = 323,843.91/x
  3. Step 3: Cross multiply
    210,819.09x = 323,843.91 × 323,843.91
  4. Step 4: Simplify right side
    210,819.09x = 104,874,875,615.26
  5. Step 5: Solve for x
    x = 104,874,875,615.26/210,819.09
  6. Step 6: Final answer
    x = 497,463.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.