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Finding the Third Proportional to 743,121 and 1,138,671

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Solution

The third proportional to 743,121 and 1,138,671 is: 1,744,765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,121 : 1,138,671 = 1,138,671 : x
  2. Step 2: Convert to fraction form
    743,121/1,138,671 = 1,138,671/x
  3. Step 3: Cross multiply
    743,121x = 1,138,671 × 1,138,671
  4. Step 4: Simplify right side
    743,121x = 1,296,571,646,241
  5. Step 5: Solve for x
    x = 1,296,571,646,241/743,121
  6. Step 6: Final answer
    x = 1,744,765.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.