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Finding the Third Proportional to 392,710 and 847,196

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Solution

The third proportional to 392,710 and 847,196 is: 1,827,661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,710 : 847,196 = 847,196 : x
  2. Step 2: Convert to fraction form
    392,710/847,196 = 847,196/x
  3. Step 3: Cross multiply
    392,710x = 847,196 × 847,196
  4. Step 4: Simplify right side
    392,710x = 717,741,062,416
  5. Step 5: Solve for x
    x = 717,741,062,416/392,710
  6. Step 6: Final answer
    x = 1,827,661.79

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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.