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Finding the Third Proportional to 142,096 and 212,169

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Solution

The third proportional to 142,096 and 212,169 is: 316,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,096 : 212,169 = 212,169 : x
  2. Step 2: Convert to fraction form
    142,096/212,169 = 212,169/x
  3. Step 3: Cross multiply
    142,096x = 212,169 × 212,169
  4. Step 4: Simplify right side
    142,096x = 45,015,684,561
  5. Step 5: Solve for x
    x = 45,015,684,561/142,096
  6. Step 6: Final answer
    x = 316,797.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.