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Finding the Third Proportional to 133,796 and 183,472.50

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Solution

The third proportional to 133,796 and 183,472.50 is: 251,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,796 : 183,472.50 = 183,472.50 : x
  2. Step 2: Convert to fraction form
    133,796/183,472.50 = 183,472.50/x
  3. Step 3: Cross multiply
    133,796x = 183,472.50 × 183,472.50
  4. Step 4: Simplify right side
    133,796x = 33,662,158,256.25
  5. Step 5: Solve for x
    x = 33,662,158,256.25/133,796
  6. Step 6: Final answer
    x = 251,593.16

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