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Finding the Third Proportional to 303,786 and 471,600

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Solution

The third proportional to 303,786 and 471,600 is: 732,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,786 : 471,600 = 471,600 : x
  2. Step 2: Convert to fraction form
    303,786/471,600 = 471,600/x
  3. Step 3: Cross multiply
    303,786x = 471,600 × 471,600
  4. Step 4: Simplify right side
    303,786x = 222,406,560,000
  5. Step 5: Solve for x
    x = 222,406,560,000/303,786
  6. Step 6: Final answer
    x = 732,115.90

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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.