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Finding the Third Proportional to 100,132.50 and 203,028

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Solution

The third proportional to 100,132.50 and 203,028 is: 411,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,132.50 : 203,028 = 203,028 : x
  2. Step 2: Convert to fraction form
    100,132.50/203,028 = 203,028/x
  3. Step 3: Cross multiply
    100,132.50x = 203,028 × 203,028
  4. Step 4: Simplify right side
    100,132.50x = 41,220,368,784
  5. Step 5: Solve for x
    x = 41,220,368,784/100,132.50
  6. Step 6: Final answer
    x = 411,658.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.