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Finding the Third Proportional to 381,519 and 805,563

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Solution

The third proportional to 381,519 and 805,563 is: 1,700,915.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,519 : 805,563 = 805,563 : x
  2. Step 2: Convert to fraction form
    381,519/805,563 = 805,563/x
  3. Step 3: Cross multiply
    381,519x = 805,563 × 805,563
  4. Step 4: Simplify right side
    381,519x = 648,931,746,969
  5. Step 5: Solve for x
    x = 648,931,746,969/381,519
  6. Step 6: Final answer
    x = 1,700,915.94

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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.