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Finding the Third Proportional to 274,135 and 430,134

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Solution

The third proportional to 274,135 and 430,134 is: 674,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,135 : 430,134 = 430,134 : x
  2. Step 2: Convert to fraction form
    274,135/430,134 = 430,134/x
  3. Step 3: Cross multiply
    274,135x = 430,134 × 430,134
  4. Step 4: Simplify right side
    274,135x = 185,015,257,956
  5. Step 5: Solve for x
    x = 185,015,257,956/274,135
  6. Step 6: Final answer
    x = 674,905.64

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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.