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Finding the Third Proportional to 376,976 and 820,528

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Solution

The third proportional to 376,976 and 820,528 is: 1,785,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,976 : 820,528 = 820,528 : x
  2. Step 2: Convert to fraction form
    376,976/820,528 = 820,528/x
  3. Step 3: Cross multiply
    376,976x = 820,528 × 820,528
  4. Step 4: Simplify right side
    376,976x = 673,266,198,784
  5. Step 5: Solve for x
    x = 673,266,198,784/376,976
  6. Step 6: Final answer
    x = 1,785,965.68

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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.