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Finding the Third Proportional to 321,419 and 475,567

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Solution

The third proportional to 321,419 and 475,567 is: 703,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,419 : 475,567 = 475,567 : x
  2. Step 2: Convert to fraction form
    321,419/475,567 = 475,567/x
  3. Step 3: Cross multiply
    321,419x = 475,567 × 475,567
  4. Step 4: Simplify right side
    321,419x = 226,163,971,489
  5. Step 5: Solve for x
    x = 226,163,971,489/321,419
  6. Step 6: Final answer
    x = 703,642.20

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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.