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Finding the Third Proportional to 270,341 and 395,239

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Solution

The third proportional to 270,341 and 395,239 is: 577,840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,341 : 395,239 = 395,239 : x
  2. Step 2: Convert to fraction form
    270,341/395,239 = 395,239/x
  3. Step 3: Cross multiply
    270,341x = 395,239 × 395,239
  4. Step 4: Simplify right side
    270,341x = 156,213,867,121
  5. Step 5: Solve for x
    x = 156,213,867,121/270,341
  6. Step 6: Final answer
    x = 577,840.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.