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Finding the Third Proportional to 185,462 and 400,489

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Solution

The third proportional to 185,462 and 400,489 is: 864,821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,462 : 400,489 = 400,489 : x
  2. Step 2: Convert to fraction form
    185,462/400,489 = 400,489/x
  3. Step 3: Cross multiply
    185,462x = 400,489 × 400,489
  4. Step 4: Simplify right side
    185,462x = 160,391,439,121
  5. Step 5: Solve for x
    x = 160,391,439,121/185,462
  6. Step 6: Final answer
    x = 864,821.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.