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Finding the Third Proportional to 155,928 and 203,905.50

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Solution

The third proportional to 155,928 and 203,905.50 is: 266,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,928 : 203,905.50 = 203,905.50 : x
  2. Step 2: Convert to fraction form
    155,928/203,905.50 = 203,905.50/x
  3. Step 3: Cross multiply
    155,928x = 203,905.50 × 203,905.50
  4. Step 4: Simplify right side
    155,928x = 41,577,452,930.25
  5. Step 5: Solve for x
    x = 41,577,452,930.25/155,928
  6. Step 6: Final answer
    x = 266,645.20

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.