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Finding the Third Proportional to 317,204 and 430,592

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Solution

The third proportional to 317,204 and 430,592 is: 584,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,204 : 430,592 = 430,592 : x
  2. Step 2: Convert to fraction form
    317,204/430,592 = 430,592/x
  3. Step 3: Cross multiply
    317,204x = 430,592 × 430,592
  4. Step 4: Simplify right side
    317,204x = 185,409,470,464
  5. Step 5: Solve for x
    x = 185,409,470,464/317,204
  6. Step 6: Final answer
    x = 584,511.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.