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Finding the Third Proportional to 174,900 and 278,439

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Solution

The third proportional to 174,900 and 278,439 is: 443,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,900 : 278,439 = 278,439 : x
  2. Step 2: Convert to fraction form
    174,900/278,439 = 278,439/x
  3. Step 3: Cross multiply
    174,900x = 278,439 × 278,439
  4. Step 4: Simplify right side
    174,900x = 77,528,276,721
  5. Step 5: Solve for x
    x = 77,528,276,721/174,900
  6. Step 6: Final answer
    x = 443,272.02

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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.