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Finding the Third Proportional to 311,437 and 431,427

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Solution

The third proportional to 311,437 and 431,427 is: 597,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,437 : 431,427 = 431,427 : x
  2. Step 2: Convert to fraction form
    311,437/431,427 = 431,427/x
  3. Step 3: Cross multiply
    311,437x = 431,427 × 431,427
  4. Step 4: Simplify right side
    311,437x = 186,129,256,329
  5. Step 5: Solve for x
    x = 186,129,256,329/311,437
  6. Step 6: Final answer
    x = 597,646.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.