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Finding the Third Proportional to 419,526 and 664,632

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Solution

The third proportional to 419,526 and 664,632 is: 1,052,939.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,526 : 664,632 = 664,632 : x
  2. Step 2: Convert to fraction form
    419,526/664,632 = 664,632/x
  3. Step 3: Cross multiply
    419,526x = 664,632 × 664,632
  4. Step 4: Simplify right side
    419,526x = 441,735,695,424
  5. Step 5: Solve for x
    x = 441,735,695,424/419,526
  6. Step 6: Final answer
    x = 1,052,939.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.