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Finding the Third Proportional to 743,220 and 1,138,797

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Solution

The third proportional to 743,220 and 1,138,797 is: 1,744,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,220 : 1,138,797 = 1,138,797 : x
  2. Step 2: Convert to fraction form
    743,220/1,138,797 = 1,138,797/x
  3. Step 3: Cross multiply
    743,220x = 1,138,797 × 1,138,797
  4. Step 4: Simplify right side
    743,220x = 1,296,858,607,209
  5. Step 5: Solve for x
    x = 1,296,858,607,209/743,220
  6. Step 6: Final answer
    x = 1,744,918.88

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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.