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Finding the Third Proportional to 178,823 and 388,402

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Solution

The third proportional to 178,823 and 388,402 is: 843,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,823 : 388,402 = 388,402 : x
  2. Step 2: Convert to fraction form
    178,823/388,402 = 388,402/x
  3. Step 3: Cross multiply
    178,823x = 388,402 × 388,402
  4. Step 4: Simplify right side
    178,823x = 150,856,113,604
  5. Step 5: Solve for x
    x = 150,856,113,604/178,823
  6. Step 6: Final answer
    x = 843,605.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.