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Finding the Third Proportional to 270,090 and 580,212

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Solution

The third proportional to 270,090 and 580,212 is: 1,246,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,090 : 580,212 = 580,212 : x
  2. Step 2: Convert to fraction form
    270,090/580,212 = 580,212/x
  3. Step 3: Cross multiply
    270,090x = 580,212 × 580,212
  4. Step 4: Simplify right side
    270,090x = 336,645,964,944
  5. Step 5: Solve for x
    x = 336,645,964,944/270,090
  6. Step 6: Final answer
    x = 1,246,421.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.