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Finding the Third Proportional to 378,510 and 799,669

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Solution

The third proportional to 378,510 and 799,669 is: 1,689,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,510 : 799,669 = 799,669 : x
  2. Step 2: Convert to fraction form
    378,510/799,669 = 799,669/x
  3. Step 3: Cross multiply
    378,510x = 799,669 × 799,669
  4. Step 4: Simplify right side
    378,510x = 639,470,509,561
  5. Step 5: Solve for x
    x = 639,470,509,561/378,510
  6. Step 6: Final answer
    x = 1,689,441.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.