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Finding the Third Proportional to 178,423 and 384,698

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Solution

The third proportional to 178,423 and 384,698 is: 829,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,423 : 384,698 = 384,698 : x
  2. Step 2: Convert to fraction form
    178,423/384,698 = 384,698/x
  3. Step 3: Cross multiply
    178,423x = 384,698 × 384,698
  4. Step 4: Simplify right side
    178,423x = 147,992,551,204
  5. Step 5: Solve for x
    x = 147,992,551,204/178,423
  6. Step 6: Final answer
    x = 829,447.72

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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.