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Finding the Third Proportional to 392,707 and 847,190

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Solution

The third proportional to 392,707 and 847,190 is: 1,827,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,707 : 847,190 = 847,190 : x
  2. Step 2: Convert to fraction form
    392,707/847,190 = 847,190/x
  3. Step 3: Cross multiply
    392,707x = 847,190 × 847,190
  4. Step 4: Simplify right side
    392,707x = 717,730,896,100
  5. Step 5: Solve for x
    x = 717,730,896,100/392,707
  6. Step 6: Final answer
    x = 1,827,649.87

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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.