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Finding the Third Proportional to 176,770.50 and 384,278

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Solution

The third proportional to 176,770.50 and 384,278 is: 835,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,770.50 : 384,278 = 384,278 : x
  2. Step 2: Convert to fraction form
    176,770.50/384,278 = 384,278/x
  3. Step 3: Cross multiply
    176,770.50x = 384,278 × 384,278
  4. Step 4: Simplify right side
    176,770.50x = 147,669,581,284
  5. Step 5: Solve for x
    x = 147,669,581,284/176,770.50
  6. Step 6: Final answer
    x = 835,374.57

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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.