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Finding the Third Proportional to 179,777 and 399,459

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Solution

The third proportional to 179,777 and 399,459 is: 887,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,777 : 399,459 = 399,459 : x
  2. Step 2: Convert to fraction form
    179,777/399,459 = 399,459/x
  3. Step 3: Cross multiply
    179,777x = 399,459 × 399,459
  4. Step 4: Simplify right side
    179,777x = 159,567,492,681
  5. Step 5: Solve for x
    x = 159,567,492,681/179,777
  6. Step 6: Final answer
    x = 887,585.69

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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.