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Finding the Third Proportional to 133,780 and 278,576

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Solution

The third proportional to 133,780 and 278,576 is: 580,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,780 : 278,576 = 278,576 : x
  2. Step 2: Convert to fraction form
    133,780/278,576 = 278,576/x
  3. Step 3: Cross multiply
    133,780x = 278,576 × 278,576
  4. Step 4: Simplify right side
    133,780x = 77,604,587,776
  5. Step 5: Solve for x
    x = 77,604,587,776/133,780
  6. Step 6: Final answer
    x = 580,091.10

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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.