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Finding the Third Proportional to 423,628 and 660,449

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Solution

The third proportional to 423,628 and 660,449 is: 1,029,660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,628 : 660,449 = 660,449 : x
  2. Step 2: Convert to fraction form
    423,628/660,449 = 660,449/x
  3. Step 3: Cross multiply
    423,628x = 660,449 × 660,449
  4. Step 4: Simplify right side
    423,628x = 436,192,881,601
  5. Step 5: Solve for x
    x = 436,192,881,601/423,628
  6. Step 6: Final answer
    x = 1,029,660.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.