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Finding the Third Proportional to 385,563 and 817,782

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Solution

The third proportional to 385,563 and 817,782 is: 1,734,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,563 : 817,782 = 817,782 : x
  2. Step 2: Convert to fraction form
    385,563/817,782 = 817,782/x
  3. Step 3: Cross multiply
    385,563x = 817,782 × 817,782
  4. Step 4: Simplify right side
    385,563x = 668,767,399,524
  5. Step 5: Solve for x
    x = 668,767,399,524/385,563
  6. Step 6: Final answer
    x = 1,734,521.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.