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Finding the Third Proportional to 691,206 and 1,036,809

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Solution

The third proportional to 691,206 and 1,036,809 is: 1,555,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,206 : 1,036,809 = 1,036,809 : x
  2. Step 2: Convert to fraction form
    691,206/1,036,809 = 1,036,809/x
  3. Step 3: Cross multiply
    691,206x = 1,036,809 × 1,036,809
  4. Step 4: Simplify right side
    691,206x = 1,074,972,902,481
  5. Step 5: Solve for x
    x = 1,074,972,902,481/691,206
  6. Step 6: Final answer
    x = 1,555,213.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.