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Finding the Third Proportional to 400,808 and 621,462

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Solution

The third proportional to 400,808 and 621,462 is: 963,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,808 : 621,462 = 621,462 : x
  2. Step 2: Convert to fraction form
    400,808/621,462 = 621,462/x
  3. Step 3: Cross multiply
    400,808x = 621,462 × 621,462
  4. Step 4: Simplify right side
    400,808x = 386,215,017,444
  5. Step 5: Solve for x
    x = 386,215,017,444/400,808
  6. Step 6: Final answer
    x = 963,591.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.