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Finding the Third Proportional to 136,796 and 218,532

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Solution

The third proportional to 136,796 and 218,532 is: 349,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,796 : 218,532 = 218,532 : x
  2. Step 2: Convert to fraction form
    136,796/218,532 = 218,532/x
  3. Step 3: Cross multiply
    136,796x = 218,532 × 218,532
  4. Step 4: Simplify right side
    136,796x = 47,756,235,024
  5. Step 5: Solve for x
    x = 47,756,235,024/136,796
  6. Step 6: Final answer
    x = 349,105.49

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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.