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Finding the Third Proportional to 80,630 and 175,255

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Solution

The third proportional to 80,630 and 175,255 is: 380,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,630 : 175,255 = 175,255 : x
  2. Step 2: Convert to fraction form
    80,630/175,255 = 175,255/x
  3. Step 3: Cross multiply
    80,630x = 175,255 × 175,255
  4. Step 4: Simplify right side
    80,630x = 30,714,315,025
  5. Step 5: Solve for x
    x = 30,714,315,025/80,630
  6. Step 6: Final answer
    x = 380,929.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.