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Finding the Third Proportional to 278,221.50 and 417,393

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Solution

The third proportional to 278,221.50 and 417,393 is: 626,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,221.50 : 417,393 = 417,393 : x
  2. Step 2: Convert to fraction form
    278,221.50/417,393 = 417,393/x
  3. Step 3: Cross multiply
    278,221.50x = 417,393 × 417,393
  4. Step 4: Simplify right side
    278,221.50x = 174,216,916,449
  5. Step 5: Solve for x
    x = 174,216,916,449/278,221.50
  6. Step 6: Final answer
    x = 626,180.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.