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Finding the Third Proportional to 136,579 and 214,253

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Solution

The third proportional to 136,579 and 214,253 is: 336,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,579 : 214,253 = 214,253 : x
  2. Step 2: Convert to fraction form
    136,579/214,253 = 214,253/x
  3. Step 3: Cross multiply
    136,579x = 214,253 × 214,253
  4. Step 4: Simplify right side
    136,579x = 45,904,348,009
  5. Step 5: Solve for x
    x = 45,904,348,009/136,579
  6. Step 6: Final answer
    x = 336,101.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.