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Finding the Third Proportional to 395,284 and 864,380

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Solution

The third proportional to 395,284 and 864,380 is: 1,890,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,284 : 864,380 = 864,380 : x
  2. Step 2: Convert to fraction form
    395,284/864,380 = 864,380/x
  3. Step 3: Cross multiply
    395,284x = 864,380 × 864,380
  4. Step 4: Simplify right side
    395,284x = 747,152,784,400
  5. Step 5: Solve for x
    x = 747,152,784,400/395,284
  6. Step 6: Final answer
    x = 1,890,167.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.