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Finding the Third Proportional to 354,838 and 769,364

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Solution

The third proportional to 354,838 and 769,364 is: 1,668,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,838 : 769,364 = 769,364 : x
  2. Step 2: Convert to fraction form
    354,838/769,364 = 769,364/x
  3. Step 3: Cross multiply
    354,838x = 769,364 × 769,364
  4. Step 4: Simplify right side
    354,838x = 591,920,964,496
  5. Step 5: Solve for x
    x = 591,920,964,496/354,838
  6. Step 6: Final answer
    x = 1,668,144.24

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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.