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Finding the Third Proportional to 311,939 and 456,243

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Solution

The third proportional to 311,939 and 456,243 is: 667,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,939 : 456,243 = 456,243 : x
  2. Step 2: Convert to fraction form
    311,939/456,243 = 456,243/x
  3. Step 3: Cross multiply
    311,939x = 456,243 × 456,243
  4. Step 4: Simplify right side
    311,939x = 208,157,675,049
  5. Step 5: Solve for x
    x = 208,157,675,049/311,939
  6. Step 6: Final answer
    x = 667,302.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.