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Finding the Third Proportional to 385,643 and 800,446

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Solution

The third proportional to 385,643 and 800,446 is: 1,661,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,643 : 800,446 = 800,446 : x
  2. Step 2: Convert to fraction form
    385,643/800,446 = 800,446/x
  3. Step 3: Cross multiply
    385,643x = 800,446 × 800,446
  4. Step 4: Simplify right side
    385,643x = 640,713,798,916
  5. Step 5: Solve for x
    x = 640,713,798,916/385,643
  6. Step 6: Final answer
    x = 1,661,416.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.