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Finding the Third Proportional to 136,263 and 212,670

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Solution

The third proportional to 136,263 and 212,670 is: 331,920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,263 : 212,670 = 212,670 : x
  2. Step 2: Convert to fraction form
    136,263/212,670 = 212,670/x
  3. Step 3: Cross multiply
    136,263x = 212,670 × 212,670
  4. Step 4: Simplify right side
    136,263x = 45,228,528,900
  5. Step 5: Solve for x
    x = 45,228,528,900/136,263
  6. Step 6: Final answer
    x = 331,920.84

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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.