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Finding the Third Proportional to 303,727 and 471,509

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Solution

The third proportional to 303,727 and 471,509 is: 731,975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,727 : 471,509 = 471,509 : x
  2. Step 2: Convert to fraction form
    303,727/471,509 = 471,509/x
  3. Step 3: Cross multiply
    303,727x = 471,509 × 471,509
  4. Step 4: Simplify right side
    303,727x = 222,320,737,081
  5. Step 5: Solve for x
    x = 222,320,737,081/303,727
  6. Step 6: Final answer
    x = 731,975.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.