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Finding the Third Proportional to 550,912 and 851,279

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Solution

The third proportional to 550,912 and 851,279 is: 1,315,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,912 : 851,279 = 851,279 : x
  2. Step 2: Convert to fraction form
    550,912/851,279 = 851,279/x
  3. Step 3: Cross multiply
    550,912x = 851,279 × 851,279
  4. Step 4: Simplify right side
    550,912x = 724,675,935,841
  5. Step 5: Solve for x
    x = 724,675,935,841/550,912
  6. Step 6: Final answer
    x = 1,315,411.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.