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Finding the Third Proportional to 379,820 and 810,472

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Solution

The third proportional to 379,820 and 810,472 is: 1,729,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,820 : 810,472 = 810,472 : x
  2. Step 2: Convert to fraction form
    379,820/810,472 = 810,472/x
  3. Step 3: Cross multiply
    379,820x = 810,472 × 810,472
  4. Step 4: Simplify right side
    379,820x = 656,864,862,784
  5. Step 5: Solve for x
    x = 656,864,862,784/379,820
  6. Step 6: Final answer
    x = 1,729,410.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.