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Finding the Third Proportional to 376,906 and 820,255

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Solution

The third proportional to 376,906 and 820,255 is: 1,785,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,906 : 820,255 = 820,255 : x
  2. Step 2: Convert to fraction form
    376,906/820,255 = 820,255/x
  3. Step 3: Cross multiply
    376,906x = 820,255 × 820,255
  4. Step 4: Simplify right side
    376,906x = 672,818,265,025
  5. Step 5: Solve for x
    x = 672,818,265,025/376,906
  6. Step 6: Final answer
    x = 1,785,108.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.