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Finding the Third Proportional to 136,251 and 212,649.75

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Solution

The third proportional to 136,251 and 212,649.75 is: 331,886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,251 : 212,649.75 = 212,649.75 : x
  2. Step 2: Convert to fraction form
    136,251/212,649.75 = 212,649.75/x
  3. Step 3: Cross multiply
    136,251x = 212,649.75 × 212,649.75
  4. Step 4: Simplify right side
    136,251x = 45,219,916,175.06
  5. Step 5: Solve for x
    x = 45,219,916,175.06/136,251
  6. Step 6: Final answer
    x = 331,886.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.