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Finding the Third Proportional to 395,487 and 847,021

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Solution

The third proportional to 395,487 and 847,021 is: 1,814,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,487 : 847,021 = 847,021 : x
  2. Step 2: Convert to fraction form
    395,487/847,021 = 847,021/x
  3. Step 3: Cross multiply
    395,487x = 847,021 × 847,021
  4. Step 4: Simplify right side
    395,487x = 717,444,574,441
  5. Step 5: Solve for x
    x = 717,444,574,441/395,487
  6. Step 6: Final answer
    x = 1,814,078.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.