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Finding the Third Proportional to 303,900 and 471,780

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Solution

The third proportional to 303,900 and 471,780 is: 732,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,900 : 471,780 = 471,780 : x
  2. Step 2: Convert to fraction form
    303,900/471,780 = 471,780/x
  3. Step 3: Cross multiply
    303,900x = 471,780 × 471,780
  4. Step 4: Simplify right side
    303,900x = 222,576,368,400
  5. Step 5: Solve for x
    x = 222,576,368,400/303,900
  6. Step 6: Final answer
    x = 732,400.03

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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.