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Finding the Third Proportional to 381,523 and 805,569

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Solution

The third proportional to 381,523 and 805,569 is: 1,700,923.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,523 : 805,569 = 805,569 : x
  2. Step 2: Convert to fraction form
    381,523/805,569 = 805,569/x
  3. Step 3: Cross multiply
    381,523x = 805,569 × 805,569
  4. Step 4: Simplify right side
    381,523x = 648,941,413,761
  5. Step 5: Solve for x
    x = 648,941,413,761/381,523
  6. Step 6: Final answer
    x = 1,700,923.44

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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.