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Finding the Third Proportional to 182,486 and 400,495

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Solution

The third proportional to 182,486 and 400,495 is: 878,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,486 : 400,495 = 400,495 : x
  2. Step 2: Convert to fraction form
    182,486/400,495 = 400,495/x
  3. Step 3: Cross multiply
    182,486x = 400,495 × 400,495
  4. Step 4: Simplify right side
    182,486x = 160,396,245,025
  5. Step 5: Solve for x
    x = 160,396,245,025/182,486
  6. Step 6: Final answer
    x = 878,950.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.