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Finding the Third Proportional to 203,481 and 278,835

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Solution

The third proportional to 203,481 and 278,835 is: 382,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,481 : 278,835 = 278,835 : x
  2. Step 2: Convert to fraction form
    203,481/278,835 = 278,835/x
  3. Step 3: Cross multiply
    203,481x = 278,835 × 278,835
  4. Step 4: Simplify right side
    203,481x = 77,748,957,225
  5. Step 5: Solve for x
    x = 77,748,957,225/203,481
  6. Step 6: Final answer
    x = 382,094.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.