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Finding the Third Proportional to 133,913 and 278,922

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Solution

The third proportional to 133,913 and 278,922 is: 580,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,913 : 278,922 = 278,922 : x
  2. Step 2: Convert to fraction form
    133,913/278,922 = 278,922/x
  3. Step 3: Cross multiply
    133,913x = 278,922 × 278,922
  4. Step 4: Simplify right side
    133,913x = 77,797,482,084
  5. Step 5: Solve for x
    x = 77,797,482,084/133,913
  6. Step 6: Final answer
    x = 580,955.41

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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.