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Finding the Third Proportional to 179,781 and 399,465

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Solution

The third proportional to 179,781 and 399,465 is: 887,592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,781 : 399,465 = 399,465 : x
  2. Step 2: Convert to fraction form
    179,781/399,465 = 399,465/x
  3. Step 3: Cross multiply
    179,781x = 399,465 × 399,465
  4. Step 4: Simplify right side
    179,781x = 159,572,286,225
  5. Step 5: Solve for x
    x = 159,572,286,225/179,781
  6. Step 6: Final answer
    x = 887,592.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.