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Finding the Third Proportional to 392,554 and 851,492

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Solution

The third proportional to 392,554 and 851,492 is: 1,846,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,554 : 851,492 = 851,492 : x
  2. Step 2: Convert to fraction form
    392,554/851,492 = 851,492/x
  3. Step 3: Cross multiply
    392,554x = 851,492 × 851,492
  4. Step 4: Simplify right side
    392,554x = 725,038,626,064
  5. Step 5: Solve for x
    x = 725,038,626,064/392,554
  6. Step 6: Final answer
    x = 1,846,978.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.