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Finding the Third Proportional to 321,785 and 482,530

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Solution

The third proportional to 321,785 and 482,530 is: 723,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,785 : 482,530 = 482,530 : x
  2. Step 2: Convert to fraction form
    321,785/482,530 = 482,530/x
  3. Step 3: Cross multiply
    321,785x = 482,530 × 482,530
  4. Step 4: Simplify right side
    321,785x = 232,835,200,900
  5. Step 5: Solve for x
    x = 232,835,200,900/321,785
  6. Step 6: Final answer
    x = 723,573.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.