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Finding the Third Proportional to 128,429.72 and 203,353.03

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Solution

The third proportional to 128,429.72 and 203,353.03 is: 321,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,429.72 : 203,353.03 = 203,353.03 : x
  2. Step 2: Convert to fraction form
    128,429.72/203,353.03 = 203,353.03/x
  3. Step 3: Cross multiply
    128,429.72x = 203,353.03 × 203,353.03
  4. Step 4: Simplify right side
    128,429.72x = 41,352,455,318.56
  5. Step 5: Solve for x
    x = 41,352,455,318.56/128,429.72
  6. Step 6: Final answer
    x = 321,985.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.