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Finding the Third Proportional to 321,003 and 683,478

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Solution

The third proportional to 321,003 and 683,478 is: 1,455,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,003 : 683,478 = 683,478 : x
  2. Step 2: Convert to fraction form
    321,003/683,478 = 683,478/x
  3. Step 3: Cross multiply
    321,003x = 683,478 × 683,478
  4. Step 4: Simplify right side
    321,003x = 467,142,176,484
  5. Step 5: Solve for x
    x = 467,142,176,484/321,003
  6. Step 6: Final answer
    x = 1,455,257.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.