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Finding the Third Proportional to 155,469 and 418,351

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Solution

The third proportional to 155,469 and 418,351 is: 1,125,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,469 : 418,351 = 418,351 : x
  2. Step 2: Convert to fraction form
    155,469/418,351 = 418,351/x
  3. Step 3: Cross multiply
    155,469x = 418,351 × 418,351
  4. Step 4: Simplify right side
    155,469x = 175,017,559,201
  5. Step 5: Solve for x
    x = 175,017,559,201/155,469
  6. Step 6: Final answer
    x = 1,125,739.27

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.