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Finding the Third Proportional to 133,985 and 278,996

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Solution

The third proportional to 133,985 and 278,996 is: 580,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,985 : 278,996 = 278,996 : x
  2. Step 2: Convert to fraction form
    133,985/278,996 = 278,996/x
  3. Step 3: Cross multiply
    133,985x = 278,996 × 278,996
  4. Step 4: Simplify right side
    133,985x = 77,838,768,016
  5. Step 5: Solve for x
    x = 77,838,768,016/133,985
  6. Step 6: Final answer
    x = 580,951.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.