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Finding the Third Proportional to 136,910 and 210,351

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Solution

The third proportional to 136,910 and 210,351 is: 323,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,910 : 210,351 = 210,351 : x
  2. Step 2: Convert to fraction form
    136,910/210,351 = 210,351/x
  3. Step 3: Cross multiply
    136,910x = 210,351 × 210,351
  4. Step 4: Simplify right side
    136,910x = 44,247,543,201
  5. Step 5: Solve for x
    x = 44,247,543,201/136,910
  6. Step 6: Final answer
    x = 323,187.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.