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Finding the Third Proportional to 419,327 and 558,669

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Solution

The third proportional to 419,327 and 558,669 is: 744,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,327 : 558,669 = 558,669 : x
  2. Step 2: Convert to fraction form
    419,327/558,669 = 558,669/x
  3. Step 3: Cross multiply
    419,327x = 558,669 × 558,669
  4. Step 4: Simplify right side
    419,327x = 312,111,051,561
  5. Step 5: Solve for x
    x = 312,111,051,561/419,327
  6. Step 6: Final answer
    x = 744,314.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.