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Finding the Third Proportional to 321,420 and 475,569

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Solution

The third proportional to 321,420 and 475,569 is: 703,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,420 : 475,569 = 475,569 : x
  2. Step 2: Convert to fraction form
    321,420/475,569 = 475,569/x
  3. Step 3: Cross multiply
    321,420x = 475,569 × 475,569
  4. Step 4: Simplify right side
    321,420x = 226,165,873,761
  5. Step 5: Solve for x
    x = 226,165,873,761/321,420
  6. Step 6: Final answer
    x = 703,645.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.