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Finding the Third Proportional to 101,448 and 146,128.50

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Solution

The third proportional to 101,448 and 146,128.50 is: 210,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,448 : 146,128.50 = 146,128.50 : x
  2. Step 2: Convert to fraction form
    101,448/146,128.50 = 146,128.50/x
  3. Step 3: Cross multiply
    101,448x = 146,128.50 × 146,128.50
  4. Step 4: Simplify right side
    101,448x = 21,353,538,512.25
  5. Step 5: Solve for x
    x = 21,353,538,512.25/101,448
  6. Step 6: Final answer
    x = 210,487.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.