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Finding the Third Proportional to 133,690 and 278,406

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Solution

The third proportional to 133,690 and 278,406 is: 579,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,690 : 278,406 = 278,406 : x
  2. Step 2: Convert to fraction form
    133,690/278,406 = 278,406/x
  3. Step 3: Cross multiply
    133,690x = 278,406 × 278,406
  4. Step 4: Simplify right side
    133,690x = 77,509,900,836
  5. Step 5: Solve for x
    x = 77,509,900,836/133,690
  6. Step 6: Final answer
    x = 579,773.36

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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.