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Finding the Third Proportional to 392,709 and 847,194

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Solution

The third proportional to 392,709 and 847,194 is: 1,827,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,709 : 847,194 = 847,194 : x
  2. Step 2: Convert to fraction form
    392,709/847,194 = 847,194/x
  3. Step 3: Cross multiply
    392,709x = 847,194 × 847,194
  4. Step 4: Simplify right side
    392,709x = 717,737,673,636
  5. Step 5: Solve for x
    x = 717,737,673,636/392,709
  6. Step 6: Final answer
    x = 1,827,657.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.