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Finding the Third Proportional to 236,450 and 512,220

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Solution

The third proportional to 236,450 and 512,220 is: 1,109,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,450 : 512,220 = 512,220 : x
  2. Step 2: Convert to fraction form
    236,450/512,220 = 512,220/x
  3. Step 3: Cross multiply
    236,450x = 512,220 × 512,220
  4. Step 4: Simplify right side
    236,450x = 262,369,328,400
  5. Step 5: Solve for x
    x = 262,369,328,400/236,450
  6. Step 6: Final answer
    x = 1,109,618.64

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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.