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Finding the Third Proportional to 185,411 and 400,387

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Solution

The third proportional to 185,411 and 400,387 is: 864,618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,411 : 400,387 = 400,387 : x
  2. Step 2: Convert to fraction form
    185,411/400,387 = 400,387/x
  3. Step 3: Cross multiply
    185,411x = 400,387 × 400,387
  4. Step 4: Simplify right side
    185,411x = 160,309,749,769
  5. Step 5: Solve for x
    x = 160,309,749,769/185,411
  6. Step 6: Final answer
    x = 864,618.33

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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.