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Finding the Third Proportional to 358,388 and 769,899

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Solution

The third proportional to 358,388 and 769,899 is: 1,653,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,388 : 769,899 = 769,899 : x
  2. Step 2: Convert to fraction form
    358,388/769,899 = 769,899/x
  3. Step 3: Cross multiply
    358,388x = 769,899 × 769,899
  4. Step 4: Simplify right side
    358,388x = 592,744,470,201
  5. Step 5: Solve for x
    x = 592,744,470,201/358,388
  6. Step 6: Final answer
    x = 1,653,918.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.