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Finding the Third Proportional to 128,139.47 and 203,652.98

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Solution

The third proportional to 128,139.47 and 203,652.98 is: 323,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,139.47 : 203,652.98 = 203,652.98 : x
  2. Step 2: Convert to fraction form
    128,139.47/203,652.98 = 203,652.98/x
  3. Step 3: Cross multiply
    128,139.47x = 203,652.98 × 203,652.98
  4. Step 4: Simplify right side
    128,139.47x = 41,474,538,044.84
  5. Step 5: Solve for x
    x = 41,474,538,044.84/128,139.47
  6. Step 6: Final answer
    x = 323,667.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.