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Finding the Third Proportional to 133,426.13 and 208,887.75

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Solution

The third proportional to 133,426.13 and 208,887.75 is: 327,028.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,426.13 : 208,887.75 = 208,887.75 : x
  2. Step 2: Convert to fraction form
    133,426.13/208,887.75 = 208,887.75/x
  3. Step 3: Cross multiply
    133,426.13x = 208,887.75 × 208,887.75
  4. Step 4: Simplify right side
    133,426.13x = 43,634,092,100.06
  5. Step 5: Solve for x
    x = 43,634,092,100.06/133,426.13
  6. Step 6: Final answer
    x = 327,028.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.