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Finding the Third Proportional to 308,430 and 471,393

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Solution

The third proportional to 308,430 and 471,393 is: 720,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,430 : 471,393 = 471,393 : x
  2. Step 2: Convert to fraction form
    308,430/471,393 = 471,393/x
  3. Step 3: Cross multiply
    308,430x = 471,393 × 471,393
  4. Step 4: Simplify right side
    308,430x = 222,211,360,449
  5. Step 5: Solve for x
    x = 222,211,360,449/308,430
  6. Step 6: Final answer
    x = 720,459.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.