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Finding the Third Proportional to 203,480 and 278,833

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Solution

The third proportional to 203,480 and 278,833 is: 382,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,480 : 278,833 = 278,833 : x
  2. Step 2: Convert to fraction form
    203,480/278,833 = 278,833/x
  3. Step 3: Cross multiply
    203,480x = 278,833 × 278,833
  4. Step 4: Simplify right side
    203,480x = 77,747,841,889
  5. Step 5: Solve for x
    x = 77,747,841,889/203,480
  6. Step 6: Final answer
    x = 382,090.83

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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.