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Finding the Third Proportional to 354,834 and 769,356

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Solution

The third proportional to 354,834 and 769,356 is: 1,668,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,834 : 769,356 = 769,356 : x
  2. Step 2: Convert to fraction form
    354,834/769,356 = 769,356/x
  3. Step 3: Cross multiply
    354,834x = 769,356 × 769,356
  4. Step 4: Simplify right side
    354,834x = 591,908,654,736
  5. Step 5: Solve for x
    x = 591,908,654,736/354,834
  6. Step 6: Final answer
    x = 1,668,128.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.