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Finding the Third Proportional to 136,674 and 208,926

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Solution

The third proportional to 136,674 and 208,926 is: 319,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,674 : 208,926 = 208,926 : x
  2. Step 2: Convert to fraction form
    136,674/208,926 = 208,926/x
  3. Step 3: Cross multiply
    136,674x = 208,926 × 208,926
  4. Step 4: Simplify right side
    136,674x = 43,650,073,476
  5. Step 5: Solve for x
    x = 43,650,073,476/136,674
  6. Step 6: Final answer
    x = 319,373.64

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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.