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Finding the Third Proportional to 136,820 and 218,568

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Solution

The third proportional to 136,820 and 218,568 is: 349,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,820 : 218,568 = 218,568 : x
  2. Step 2: Convert to fraction form
    136,820/218,568 = 218,568/x
  3. Step 3: Cross multiply
    136,820x = 218,568 × 218,568
  4. Step 4: Simplify right side
    136,820x = 47,771,970,624
  5. Step 5: Solve for x
    x = 47,771,970,624/136,820
  6. Step 6: Final answer
    x = 349,159.26

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.