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Finding the Third Proportional to 133,983 and 278,991.56

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Solution

The third proportional to 133,983 and 278,991.56 is: 580,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,983 : 278,991.56 = 278,991.56 : x
  2. Step 2: Convert to fraction form
    133,983/278,991.56 = 278,991.56/x
  3. Step 3: Cross multiply
    133,983x = 278,991.56 × 278,991.56
  4. Step 4: Simplify right side
    133,983x = 77,836,291,946.19
  5. Step 5: Solve for x
    x = 77,836,291,946.19/133,983
  6. Step 6: Final answer
    x = 580,941.55

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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.