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Finding the Third Proportional to 390,228 and 851,190

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Solution

The third proportional to 390,228 and 851,190 is: 1,856,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,228 : 851,190 = 851,190 : x
  2. Step 2: Convert to fraction form
    390,228/851,190 = 851,190/x
  3. Step 3: Cross multiply
    390,228x = 851,190 × 851,190
  4. Step 4: Simplify right side
    390,228x = 724,524,416,100
  5. Step 5: Solve for x
    x = 724,524,416,100/390,228
  6. Step 6: Final answer
    x = 1,856,669.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.