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Finding the Third Proportional to 358,855 and 769,208

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Solution

The third proportional to 358,855 and 769,208 is: 1,648,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,855 : 769,208 = 769,208 : x
  2. Step 2: Convert to fraction form
    358,855/769,208 = 769,208/x
  3. Step 3: Cross multiply
    358,855x = 769,208 × 769,208
  4. Step 4: Simplify right side
    358,855x = 591,680,947,264
  5. Step 5: Solve for x
    x = 591,680,947,264/358,855
  6. Step 6: Final answer
    x = 1,648,802.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.