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Finding the Third Proportional to 174,940 and 278,500

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Solution

The third proportional to 174,940 and 278,500 is: 443,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,940 : 278,500 = 278,500 : x
  2. Step 2: Convert to fraction form
    174,940/278,500 = 278,500/x
  3. Step 3: Cross multiply
    174,940x = 278,500 × 278,500
  4. Step 4: Simplify right side
    174,940x = 77,562,250,000
  5. Step 5: Solve for x
    x = 77,562,250,000/174,940
  6. Step 6: Final answer
    x = 443,364.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.