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Finding the Third Proportional to 210.04 and 414.91

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Solution

The third proportional to 210.04 and 414.91 is: 819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.04 : 414.91 = 414.91 : x
  2. Step 2: Convert to fraction form
    210.04/414.91 = 414.91/x
  3. Step 3: Cross multiply
    210.04x = 414.91 × 414.91
  4. Step 4: Simplify right side
    210.04x = 172,153.68
  5. Step 5: Solve for x
    x = 172,153.68/210.04
  6. Step 6: Final answer
    x = 819.62

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.