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Finding the Third Proportional to 149,649.75 and 218,892.38

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Solution

The third proportional to 149,649.75 and 218,892.38 is: 320,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,649.75 : 218,892.38 = 218,892.38 : x
  2. Step 2: Convert to fraction form
    149,649.75/218,892.38 = 218,892.38/x
  3. Step 3: Cross multiply
    149,649.75x = 218,892.38 × 218,892.38
  4. Step 4: Simplify right side
    149,649.75x = 47,913,871,833.14
  5. Step 5: Solve for x
    x = 47,913,871,833.14/149,649.75
  6. Step 6: Final answer
    x = 320,173.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.