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Finding the Third Proportional to 145,512.38 and 212,610.75

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Solution

The third proportional to 145,512.38 and 212,610.75 is: 310,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,512.38 : 212,610.75 = 212,610.75 : x
  2. Step 2: Convert to fraction form
    145,512.38/212,610.75 = 212,610.75/x
  3. Step 3: Cross multiply
    145,512.38x = 212,610.75 × 212,610.75
  4. Step 4: Simplify right side
    145,512.38x = 45,203,331,015.56
  5. Step 5: Solve for x
    x = 45,203,331,015.56/145,512.38
  6. Step 6: Final answer
    x = 310,649.39

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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.