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Finding the Third Proportional to 551,367 and 851,229

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Solution

The third proportional to 551,367 and 851,229 is: 1,314,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,367 : 851,229 = 851,229 : x
  2. Step 2: Convert to fraction form
    551,367/851,229 = 851,229/x
  3. Step 3: Cross multiply
    551,367x = 851,229 × 851,229
  4. Step 4: Simplify right side
    551,367x = 724,590,810,441
  5. Step 5: Solve for x
    x = 724,590,810,441/551,367
  6. Step 6: Final answer
    x = 1,314,171.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.