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Finding the Third Proportional to 413,307 and 876,212

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Solution

The third proportional to 413,307 and 876,212 is: 1,857,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,307 : 876,212 = 876,212 : x
  2. Step 2: Convert to fraction form
    413,307/876,212 = 876,212/x
  3. Step 3: Cross multiply
    413,307x = 876,212 × 876,212
  4. Step 4: Simplify right side
    413,307x = 767,747,468,944
  5. Step 5: Solve for x
    x = 767,747,468,944/413,307
  6. Step 6: Final answer
    x = 1,857,571.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.