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Finding the Third Proportional to 133,907 and 278,910

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Solution

The third proportional to 133,907 and 278,910 is: 580,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,907 : 278,910 = 278,910 : x
  2. Step 2: Convert to fraction form
    133,907/278,910 = 278,910/x
  3. Step 3: Cross multiply
    133,907x = 278,910 × 278,910
  4. Step 4: Simplify right side
    133,907x = 77,790,788,100
  5. Step 5: Solve for x
    x = 77,790,788,100/133,907
  6. Step 6: Final answer
    x = 580,931.45

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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.