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Finding the Third Proportional to 303,860 and 471,720

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Solution

The third proportional to 303,860 and 471,720 is: 732,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,860 : 471,720 = 471,720 : x
  2. Step 2: Convert to fraction form
    303,860/471,720 = 471,720/x
  3. Step 3: Cross multiply
    303,860x = 471,720 × 471,720
  4. Step 4: Simplify right side
    303,860x = 222,519,758,400
  5. Step 5: Solve for x
    x = 222,519,758,400/303,860
  6. Step 6: Final answer
    x = 732,310.14

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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.