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Finding the Third Proportional to 768,640 and 1,221,388

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Solution

The third proportional to 768,640 and 1,221,388 is: 1,940,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,640 : 1,221,388 = 1,221,388 : x
  2. Step 2: Convert to fraction form
    768,640/1,221,388 = 1,221,388/x
  3. Step 3: Cross multiply
    768,640x = 1,221,388 × 1,221,388
  4. Step 4: Simplify right side
    768,640x = 1,491,788,646,544
  5. Step 5: Solve for x
    x = 1,491,788,646,544/768,640
  6. Step 6: Final answer
    x = 1,940,815.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.