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Finding the Third Proportional to 419,656 and 665,524

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Solution

The third proportional to 419,656 and 665,524 is: 1,055,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,656 : 665,524 = 665,524 : x
  2. Step 2: Convert to fraction form
    419,656/665,524 = 665,524/x
  3. Step 3: Cross multiply
    419,656x = 665,524 × 665,524
  4. Step 4: Simplify right side
    419,656x = 442,922,194,576
  5. Step 5: Solve for x
    x = 442,922,194,576/419,656
  6. Step 6: Final answer
    x = 1,055,441.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.