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Finding the Third Proportional to 385,180 and 847,220

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Solution

The third proportional to 385,180 and 847,220 is: 1,863,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,180 : 847,220 = 847,220 : x
  2. Step 2: Convert to fraction form
    385,180/847,220 = 847,220/x
  3. Step 3: Cross multiply
    385,180x = 847,220 × 847,220
  4. Step 4: Simplify right side
    385,180x = 717,781,728,400
  5. Step 5: Solve for x
    x = 717,781,728,400/385,180
  6. Step 6: Final answer
    x = 1,863,496.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.