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Finding the Third Proportional to 133,809.75 and 183,483.56

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Solution

The third proportional to 133,809.75 and 183,483.56 is: 251,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,809.75 : 183,483.56 = 183,483.56 : x
  2. Step 2: Convert to fraction form
    133,809.75/183,483.56 = 183,483.56/x
  3. Step 3: Cross multiply
    133,809.75x = 183,483.56 × 183,483.56
  4. Step 4: Simplify right side
    133,809.75x = 33,666,217,707.69
  5. Step 5: Solve for x
    x = 33,666,217,707.69/133,809.75
  6. Step 6: Final answer
    x = 251,597.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.