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Finding the Third Proportional to 174,898 and 380,940

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Solution

The third proportional to 174,898 and 380,940 is: 829,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,898 : 380,940 = 380,940 : x
  2. Step 2: Convert to fraction form
    174,898/380,940 = 380,940/x
  3. Step 3: Cross multiply
    174,898x = 380,940 × 380,940
  4. Step 4: Simplify right side
    174,898x = 145,115,283,600
  5. Step 5: Solve for x
    x = 145,115,283,600/174,898
  6. Step 6: Final answer
    x = 829,713.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.