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Finding the Third Proportional to 354,310 and 770,828

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Solution

The third proportional to 354,310 and 770,828 is: 1,676,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,310 : 770,828 = 770,828 : x
  2. Step 2: Convert to fraction form
    354,310/770,828 = 770,828/x
  3. Step 3: Cross multiply
    354,310x = 770,828 × 770,828
  4. Step 4: Simplify right side
    354,310x = 594,175,805,584
  5. Step 5: Solve for x
    x = 594,175,805,584/354,310
  6. Step 6: Final answer
    x = 1,676,994.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.