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Finding the Third Proportional to 178,154.25 and 384,334.50

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Solution

The third proportional to 178,154.25 and 384,334.50 is: 829,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,154.25 : 384,334.50 = 384,334.50 : x
  2. Step 2: Convert to fraction form
    178,154.25/384,334.50 = 384,334.50/x
  3. Step 3: Cross multiply
    178,154.25x = 384,334.50 × 384,334.50
  4. Step 4: Simplify right side
    178,154.25x = 147,713,007,890.25
  5. Step 5: Solve for x
    x = 147,713,007,890.25/178,154.25
  6. Step 6: Final answer
    x = 829,129.86

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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.